Physics Book - User contributions [en]

Conservation of Energy

2017-04-10T01:18:12Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
===Conceptual Model===
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div> see reference 1

===Mathematical Model===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
====General Formulas====
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2

 [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation of Conservation of Energy]
 [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization of Transfers of Energy]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
(a) 
E = γmc2 
E = (5.50)(9.11 × 10-31)(3 × 108) 
E = 1.50 × 10-21 J 
(b) 
Erest = mc2 
Erest = (9.11 × 10-31)(3 × 108)2 
Erest = 2.73 × 10-22 J 
(c) 
K = E - Erest 
K = 1.50 × 10-21 - 2.73 × 10-22 
K = 1.23 × 10-21 J 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s

===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
[[File: DifficultEnergyConservation.png]]
See Reference 5 

KE2 + PE2 = KE3 + PE3 - Wnc 
(1/2)mtotalv22 + mtotalgh2 = (1/2)mtotalv32 + mtotalgh3 - Wnc 
(1/2)mtotalv22 + 0 = 0 + 0 - (μmtotalg)dcos(180°) 
(1/2)v22 = -(0.72)(9.8 m/s2)(8.2 m)(-1) 
v22 = 116 m2/s2 
v2 = 10.8 m/s 

* Notice how the mass is canceled. 

p1 = p2 
p1x = p2x 
msuvvsuv + mcarvcar = mtotalv2 
(1700 kg)vsuv + 0 = (2650 kg)(10.8 m/s) 
(1700 kg)vsuv = 28600 kgm/s 
vsuv = 17 m/s 

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics and helps explain and sometimes predict how our world works. Knowing why and how things move and interact is very powerful. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Many physicists contributed to the knowledge of energy, however it is most notably atributed to Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
 [https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/a/what-is-conservation-of-energy Khan Academy]
 [http://www.physicsclassroom.com/class/energy/Lesson-2/Application-and-Practice-Questions Practice Questions]
 [http://physics.info/energy-conservation/problems.shtml More Practice]
 [http://gilliesphysics.weebly.com/uploads/5/7/5/2/57520801/conservation_of_energy_practice_problems.pdf Basic Examples] 
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]
==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-10T01:15:23Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
===Conceptual Model===
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div> see reference 1

===Mathematical Model===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
====General Formulas====
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2

 [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation of Conservation of Energy]
 [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization of Transfers of Energy]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
(a) 
E = γmc2 
E = (5.50)(9.11 × 10-31)(3 × 108) 
E = 1.50 × 10-21 J 
(b) 
Erest = mc2 
Erest = (9.11 × 10-31)(3 × 108)2 
Erest = 2.73 × 10-22 J 
(c) 
K = E - Erest 
K = 1.50 × 10-21 - 2.73 × 10-22 
K = 1.23 × 10-21 J 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s

===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
[[File: DifficultEnergyConservation.png]]
See Reference 5 

KE2 + PE2 = KE3 + PE3 - Wnc 
(1/2)mtotalv22 + mtotalgh2 = (1/2)mtotalv32 + mtotalgh3 - Wnc 
(1/2)mtotalv22 + 0 = 0 + 0 - (μmtotalg)dcos(180°) 
(1/2)v22 = -(0.72)(9.8 m/s2)(8.2 m)(-1) 
v22 = 116 m2/s2 
v2 = 10.8 m/s 

* Notice how the mass is canceled. 

p1 = p2 
p1x = p2x 
msuvvsuv + mcarvcar = mtotalv2 
(1700 kg)vsuv + 0 = (2650 kg)(10.8 m/s) 
(1700 kg)vsuv = 28600 kgm/s 
vsuv = 17 m/s 

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics and helps explain and sometimes predict how our world works. Knowing why and how things move and interact is very powerful. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Many physicists contributed to the knowledge of energy, however it is most notably atributed to Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
 Khan Academy [https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/a/what-is-conservation-of-energy]
 Practice Questions [http://www.physicsclassroom.com/class/energy/Lesson-2/Application-and-Practice-Questions]
 More Practice [http://physics.info/energy-conservation/problems.shtml]
 Basic Examples [http://gilliesphysics.weebly.com/uploads/5/7/5/2/57520801/conservation_of_energy_practice_problems.pdf] 
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]
==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-10T01:10:57Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
===Conceptual Model===
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div> see reference 1

===Mathematical Model===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
====General Formulas====
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2

 [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation of Conservation of Energy]
 [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization of Transfers of Energy]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
(a) 
E = γmc2 
E = (5.50)(9.11 × 10-31)(3 × 108) 
E = 1.50 × 10-21 J 
(b) 
Erest = mc2 
Erest = (9.11 × 10-31)(3 × 108)2 
Erest = 2.73 × 10-22 J 
(c) 
K = E - Erest 
K = 1.50 × 10-21 - 2.73 × 10-22 
K = 1.23 × 10-21 J 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s

===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

KE2 + PE2 = KE3 + PE3 - Wnc 
(1/2)mtotalv22 + mtotalgh2 = (1/2)mtotalv32 + mtotalgh3 - Wnc 
(1/2)mtotalv22 + 0 = 0 + 0 - (μmtotalg)dcos(180°) 
(1/2)v22 = -(0.72)(9.8 m/s2)(8.2 m)(-1) 
v22 = 116 m2/s2 
v2 = 10.8 m/s 

** Notice hoe the mass is canceled. 

p1 = p2 
p1x = p2x 
msuvvsuv + mcarvcar = mtotalv2 
(1700 kg)vsuv + 0 = (2650 kg)(10.8 m/s) 
(1700 kg)vsuv = 28600 kgm/s 
vsuv = 17 m/s 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics and helps explain and sometimes predict how our world works. Knowing why and how things move and interact is very powerful. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]
 Khan Academy [https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/a/what-is-conservation-of-energy]
 Practice Questions [http://www.physicsclassroom.com/class/energy/Lesson-2/Application-and-Practice-Questions]
 More Practice [http://physics.info/energy-conservation/problems.shtml]
 Basic Examples [http://gilliesphysics.weebly.com/uploads/5/7/5/2/57520801/conservation_of_energy_practice_problems.pdf]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-10T00:58:27Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
===Conceptual Model===
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div> see reference 1

===Mathematical Model===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
====General Formulas====
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2

 [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation of Conservation of Energy]
 [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization of Transfers of Energy]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
(a) 
E = γmc2 
E = (5.50)(9.11 × 10-31)(3 × 108) 
E = 1.50 × 10-21 J 
(b) 
Erest = mc2 
Erest = (9.11 × 10-31)(3 × 108)2 
Erest = 2.73 × 10-22 J 
(c) 
K = E - Erest 
K = 1.50 × 10-21 - 2.73 × 10-22 
K = 1.23 × 10-21 J 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s

===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

KE2 + PE2 = KE3 + PE3 - Wnc 
(1/2)mtotalv22

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics and helps explain and sometimes predict how our world works. Knowing why and how things move and interact is very powerful. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]
 Khan Academy [https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/a/what-is-conservation-of-energy]
 Practice Questions [http://www.physicsclassroom.com/class/energy/Lesson-2/Application-and-Practice-Questions]
 More Practice [http://physics.info/energy-conservation/problems.shtml]
 Basic Examples [http://gilliesphysics.weebly.com/uploads/5/7/5/2/57520801/conservation_of_energy_practice_problems.pdf]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-10T00:53:56Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
===Conceptual Model===
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div> see reference 1

===Mathematical Model===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
====General Formulas====
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2

 [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation of Conservation of Energy]
 [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization of Transfers of Energy]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
(a) 
E = γmc2 
E = (5.50)(9.11 × 10-31)(3 × 108) 
E = 1.50 × 10-21 J 
(b) 
Erest = mc2 
Erest = (9.11 × 10-31)(3 × 108)2 
Erest = 2.73 × 10-22 J 
(c) 
K = E - Erest 
K = 1.50 × 10-21 - 2.73 × 10-22 
K = 1.23 × 10-21 J 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s

===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics and helps explain and sometimes predict how our world works. Knowing why and how things move and interact is very powerful. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]
 Khan Academy [https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/a/what-is-conservation-of-energy]
 Practice Questions [http://www.physicsclassroom.com/class/energy/Lesson-2/Application-and-Practice-Questions]
 More Practice [http://physics.info/energy-conservation/problems.shtml]
 Basic Examples [http://gilliesphysics.weebly.com/uploads/5/7/5/2/57520801/conservation_of_energy_practice_problems.pdf]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-10T00:53:25Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
===Conceptual Model===
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div> see reference 1

===Mathematical Model===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
====General Formulas====
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2

 [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation of Conservation of Energy]
 [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization of Transfers of Energy]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
(a) 
E = γmc2 
E = (5.50)(9.11 × 10-31)(3 × 108) 
E = 1.50 × 10-21 J 
(b) 
Erest = mc2 
Erest = (9.11 × 10-31)(3 × 108)2 
Erest = 2.73 × 10-22 J 
(c) 
K = E - Erest
K = 1.50 × 10-21 - 2.73 × 10-22 
K = 1.23 × 10-21 J 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s

===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics and helps explain and sometimes predict how our world works. Knowing why and how things move and interact is very powerful. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]
 Khan Academy [https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/a/what-is-conservation-of-energy]
 Practice Questions [http://www.physicsclassroom.com/class/energy/Lesson-2/Application-and-Practice-Questions]
 More Practice [http://physics.info/energy-conservation/problems.shtml]
 Basic Examples [http://gilliesphysics.weebly.com/uploads/5/7/5/2/57520801/conservation_of_energy_practice_problems.pdf]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-10T00:41:12Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
===Conceptual Model===
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div> see reference 1

===Mathematical Model===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
====General Formulas====
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2

 [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation of Conservation of Energy]
 [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization of Transfers of Energy]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
E = γmc2 
E = (5.50)(9.11 × 10-31)(3 × 108) 
E = 1.50 × 10-21 J 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s

===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics and helps explain and sometimes predict how our world works. Knowing why and how things move and interact is very powerful. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]
 Khan Academy [https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/a/what-is-conservation-of-energy]
 Practice Questions [http://www.physicsclassroom.com/class/energy/Lesson-2/Application-and-Practice-Questions]
 More Practice [http://physics.info/energy-conservation/problems.shtml]
 Basic Examples [http://gilliesphysics.weebly.com/uploads/5/7/5/2/57520801/conservation_of_energy_practice_problems.pdf]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-09T03:38:02Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
===Conceptual Model===
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div> see reference 1

===Mathematical Model===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
====General Formulas====
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2
 Basics of Conservation of Energy [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation]
 Visualization of energy transfers [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
E = γmc2 
E = (5.50)(9.11 × 10-31)(3 × 108) 
E = 1.50 × 10-21 J 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s

===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics and helps explain and sometimes predict how our world works. Knowing why and how things move and interact is very powerful. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]
 Khan Academy [https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/a/what-is-conservation-of-energy]
 Practice Questions [http://www.physicsclassroom.com/class/energy/Lesson-2/Application-and-Practice-Questions]
 More Practice [http://physics.info/energy-conservation/problems.shtml]
 Basic Examples [http://gilliesphysics.weebly.com/uploads/5/7/5/2/57520801/conservation_of_energy_practice_problems.pdf]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-09T03:36:45Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
===Conceptual Model===
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div> see reference 1

===Mathematical Model===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
====General Formulas====
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2
 Basics of Conservation of Energy [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation]
 Visualization of energy transfers [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
E = γmc2 
E = (5.50)(9.11 × 10-31)(3 × 108) 
E = 1.50 × 10-21 J 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s

===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Extra Resources==
 Khan Academy <https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/a/what-is-conservation-of-energy>
 Practice Questions [http://www.physicsclassroom.com/class/energy/Lesson-2/Application-and-Practice-Questions]
 More Practice [http://physics.info/energy-conservation/problems.shtml]
 Basic Examples [http://gilliesphysics.weebly.com/uploads/5/7/5/2/57520801/conservation_of_energy_practice_problems.pdf]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics and helps explain and sometimes predict how our world works. Knowing why and how things move and interact is very powerful. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]
 Khan Academy [https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/a/what-is-conservation-of-energy]
 Practice Questions [http://www.physicsclassroom.com/class/energy/Lesson-2/Application-and-Practice-Questions]
 More Practice [http://physics.info/energy-conservation/problems.shtml]
 Basic Examples [http://gilliesphysics.weebly.com/uploads/5/7/5/2/57520801/conservation_of_energy_practice_problems.pdf]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-09T03:24:26Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
===Conceptual Model===
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div> see reference 1

===Mathematical Model===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
====General Formulas====
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2
 Basics of Conservation of Energy [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation]
 Visualization of energy transfers [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
E = γmc2 
E = (5.50)(9.11 × 10-31)(3 × 108) 
E = 1.50 × 10-21 J 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s

===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Extra Resources==
 Khan Academy <https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/a/what-is-conservation-of-energy>
 Practice Questions <http://www.physicsclassroom.com/class/energy/Lesson-2/Application-and-Practice-Questions>
 More Practice <http://physics.info/energy-conservation/problems.shtml>
 Basic Examples <http://gilliesphysics.weebly.com/uploads/5/7/5/2/57520801/conservation_of_energy_practice_problems.pdf>

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics and helps explain and sometimes predict how our world works. Knowing why and how things move and interact is very powerful. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-09T03:15:12Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div> see reference 1

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2
 Basics of Conservation of Energy [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation]
 Visualization of energy transfers [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
E = γmc2 
E = (5.50)(9.11 × 10-31)(3 × 108) 
E = 1.50 × 10-21 J 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s

===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Extra Resources==
 Khan Academy <https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/a/what-is-conservation-of-energy>
 Practice Questions <http://www.physicsclassroom.com/class/energy/Lesson-2/Application-and-Practice-Questions>
 More Practice <http://physics.info/energy-conservation/problems.shtml>
 Basic Examples <http://gilliesphysics.weebly.com/uploads/5/7/5/2/57520801/conservation_of_energy_practice_problems.pdf>

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics and helps explain and sometimes predict how our world works. Knowing why and how things move and interact is very powerful. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-09T03:11:02Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 
<math>/frac{1}{2}</math>

==Main Ideas==
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div> see reference 1

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2
 Basics of Conservation of Energy [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation]
 Visualization of energy transfers [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
E = γmc2 
E = (5.50)(9.11 × 10-31)(3 × 108) 
E = 1.50 × 10-21 J 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s

===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Extra Resources==
Khan Academy <https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/a/what-is-conservation-of-energy>
Practice Questions <http://www.physicsclassroom.com/class/energy/Lesson-2/Application-and-Practice-Questions>
More Practice <http://physics.info/energy-conservation/problems.shtml>
Basic Examples <http://gilliesphysics.weebly.com/uploads/5/7/5/2/57520801/conservation_of_energy_practice_problems.pdf>

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics and helps explain and sometimes predict how our world works. Knowing why and how things move and interact is very powerful. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-09T02:36:58Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 
<math>/frac{1}{2}</math>

==Main Ideas==
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div> see reference 1

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2
 Basics of Conservation of Energy [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation]
 Visualization of energy transfers [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
E = γmc2 
E = (5.50)(9.11 × 10-31)(3 × 108) 
E = 1.50 × 10-21 J 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s

===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-09T02:33:33Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 
<math>/frac{1}{2}</math>

==Main Ideas==
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] see reference 1

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2
 Basics of Conservation of Energy [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation]
 Visualization of energy transfers [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
E = γmc2 
E = (5.50)(9.11 × 10-31)(3 × 108) 
E = 1.50 × 10-21 J 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s

===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-09T02:24:57Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 
<math>/frac{1}{2}</math>

==Main Ideas==
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div><ref>http://www.eoht.info/page/Conservation+of+energy</ref>

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2
 Basics of Conservation of Energy [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation]
 Visualization of energy transfers [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
E = γmc2 
E = (5.50)(9.11 × 10-31)(3 × 108) 
E = 1.50 × 10-21 J 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s

===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-09T02:22:28Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 
<math>/frac{1}{2}</math>

==Main Ideas==
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div><ref>http://www.eoht.info/page/Conservation+of+energy</ref>

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2
 Basics of Conservation of Energy [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation]
 Visualization of energy transfers [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
E = γmc2 
E = (5.50)(9.11 × 10-31)(3 × 108) 
E = 1.50 × 10-21 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-09T02:16:35Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 
<math>/frac{1}{2}</math>

==Main Ideas==
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div><ref>http://www.eoht.info/page/Conservation+of+energy</ref>

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: /frac 12 mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2
 Basics of Conservation of Energy [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation]
 Visualization of energy transfers [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
E = γmc2 
γ =

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-09T02:10:00Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 
<math>/frac{1}{2}</math>

==Main Ideas==
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div><ref>http://www.eoht.info/page/Conservation+of+energy</ref>

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2
 Basics of Conservation of Energy [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation]
 Visualization of energy transfers [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 
E = γmc2 
γ =

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-09T02:02:29Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div><ref>http://www.eoht.info/page/Conservation+of+energy</ref>

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2
 Basics of Conservation of Energy [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation]
 Visualization of energy transfers [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron? 
(b) What is the rest energy of the electron? 
(c) What is the kinetic energy of the moving proton? 

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-09T02:00:27Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy means that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div><ref>http://www.eoht.info/page/Conservation+of+energy</ref>

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2
 Basics of Conservation of Energy [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation]
 Visualization of energy transfers [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization]

==Examples==

===Particle===
An electron is accelerated to a speed of 2.95 × 108 
(a) What is the energy of the electron?
(b) What is the rest energy of the electron?
(c) What is the kinetic energy of the moving proton?

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-09T01:37:49Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div><ref>http://www.eoht.info/page/Conservation+of+energy</ref>

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2
>br>Basics of Conservation of Energy [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation]
 Visualization of energy transfers [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization]

==Examples==

===Particle===
An electron is
===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-09T01:29:53Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div><ref>http://www.eoht.info/page/Conservation+of+energy</ref>

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2
Basics of Conservation of Energy [https://www.youtube.com/watch?v=kw_4Loo1HR4 Basic Explanation]
Visualization of energy transfers [https://www.youtube.com/watch?v=EZrJNIBX2wk Skater Visualization]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-09T01:22:06Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div><ref>http://www.eoht.info/page/Conservation+of+energy</ref>

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:MathConservationEnergy.png]]
 See Reference 2
[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

File:Potentialkinetic.jpg

2017-04-09T01:13:28Z

Kylebarber:

Conservation of Energy

2017-04-09T01:12:55Z

Kylebarber:

[[File:potentialkinetic.jpg]]Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div><ref>http://www.eoht.info/page/Conservation+of+energy</ref>

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[(A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.) |]]

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T23:12:38Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div><ref>http://www.eoht.info/page/Conservation+of+energy</ref>

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[(A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.) |]]

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T23:08:12Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div><ref>http://www.eoht.info/page/Conservation+of+energy</ref>

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T23:07:37Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div><ref>http://www.eoht.info/page/Conservation+of+energy</ref>

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

The change in Energy=Q+W
 See Reference 1

A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T23:07:11Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div> <ref>http://www.eoht.info/page/Conservation+of+energy</ref>

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

The change in Energy=Q+W
 See Reference 1

A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:59:34Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div>

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

The change in Energy=Q+W
 See Reference 1

A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:58:56Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 
<div class="center" style="width: auto; margin-left: auto; margin-right: auto;"> [[File:IntroConservationEnergy.gif]] </div>

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
[[File:IntroConservationEnergy.gif]]

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

The change in Energy=Q+W
 See Reference 1

A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:57:15Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
[[File:IntroConservationEnergy.gif]]

===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

The change in Energy=Q+W
 See Reference 1

A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:54:11Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)
These formulas can be interchanged. For example, is you know work and heat transfer are zero, energy equals zero, so K + U will equal zero

[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1

A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:51:09Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)
* E = K + U (The total energy is the sum of the kinetic and potential energies. From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.)

[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1

A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:49:11Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2) (large distances), mgh (near the surface of the Earth)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)

[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1

A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:48:04Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT 
===General Formulas===
* E = W + Q (if no heat transfer indicated, Q = 0; if no external forces acting on system, W = 0)

[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1

A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:45:05Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)/(R2)
** Spring (Elastic) Potential: (1/2)kss2 
** Thermal Energy: mCΔT
===General Formulas===
**

For any given isolated system, the total energy will remain constant regardless of any processes or interactions that occur in the domain. Therefore, energy cannot be created or destroyed. 
[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1
A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:44:13Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: (-Gm1m2)(R2)
** Spring (Elastic) Potential: (1/2)kss2
** Thermal Energy:
===General Formulas===
**

For any given isolated system, the total energy will remain constant regardless of any processes or interactions that occur in the domain. Therefore, energy cannot be created or destroyed. 
[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1
A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:42:13Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy: Erest = mc2 
** Kinetic (particle): K = γmc2 + mc2 
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: -G/frac{m1m2}{R2}
** Spring (Elastic) Potential: (1/2)kss2
** Thermal Energy:
===General Formulas===
**

For any given isolated system, the total energy will remain constant regardless of any processes or interactions that occur in the domain. Therefore, energy cannot be created or destroyed. 
[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1
A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:40:32Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = γmc2 
** Rest Energy
** Kinetic (particle)
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: -G/frac{m1m2}{R2}
** Spring (Elastic) Potential: (1/2)kss2
** Thermal Energy:
===General Formulas===
**

For any given isolated system, the total energy will remain constant regardless of any processes or interactions that occur in the domain. Therefore, energy cannot be created or destroyed. 
[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1
A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:40:09Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = &gammamc2 
** Rest Energy
** Kinetic (particle)
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: -G/frac{m1m2}{R2}
** Spring (Elastic) Potential: (1/2)kss2
** Thermal Energy:
===General Formulas===
**

For any given isolated system, the total energy will remain constant regardless of any processes or interactions that occur in the domain. Therefore, energy cannot be created or destroyed. 
[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1
A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:37:36Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = mc2 
** Rest Energy
** Kinetic (particle)
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: -G/frac{m1m2}{R2}
** Spring (Elastic) Potential: (1/2)kss2
** Thermal Energy:
===General Formulas===
**

For any given isolated system, the total energy will remain constant regardless of any processes or interactions that occur in the domain. Therefore, energy cannot be created or destroyed. 
[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1
A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:36:47Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = mc2 
** Rest Energy
** Kinetic (particle)
* General Objects
** Kinetic: (1/2)mv2
** Gravitational Potential: -G/frac{m1m2}{R2}
** Spring (Elastic) Potential: (1/2)kss2
** Thermal Energy:
===General Formulas===
**

For any given isolated system, the total energy will remain constant regardless of any processes or interactions that occur in the domain. Therefore, energy cannot be created or destroyed. 
[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1
A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:33:51Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 
\tfrac{2}{4}=0.5

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = mc2 
** Rest Energy
** Kinetic (particle)
* General Objects
** Kinetic: \frac {1}{2} mv2
** Gravitational Potential:
** Spring (Elastic) Potential:
** Thermal Energy:
===General Formulas===
**

For any given isolated system, the total energy will remain constant regardless of any processes or interactions that occur in the domain. Therefore, energy cannot be created or destroyed. 
[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1
A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:33:12Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 
\frac{2}{4}=0.5
{2 \over 4}=0.5
==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = mc2 
** Rest Energy
** Kinetic (particle)
* General Objects
** Kinetic: \frac {1}{2} mv2
** Gravitational Potential:
** Spring (Elastic) Potential:
** Thermal Energy:
===General Formulas===
**

For any given isolated system, the total energy will remain constant regardless of any processes or interactions that occur in the domain. Therefore, energy cannot be created or destroyed. 
[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1
A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:32:55Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 
\frac{2}{4}=0.5

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = mc2 
** Rest Energy
** Kinetic (particle)
* General Objects
** Kinetic: \frac {1}{2} mv2
** Gravitational Potential:
** Spring (Elastic) Potential:
** Thermal Energy:
===General Formulas===
**

For any given isolated system, the total energy will remain constant regardless of any processes or interactions that occur in the domain. Therefore, energy cannot be created or destroyed. 
[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1
A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:29:39Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = mc2 
** Rest Energy
** Kinetic (particle)
* General Objects
** Kinetic: \frac {1}{2} mv2
** Gravitational Potential:
** Spring (Elastic) Potential:
** Thermal Energy:
===General Formulas===
**

For any given isolated system, the total energy will remain constant regardless of any processes or interactions that occur in the domain. Therefore, energy cannot be created or destroyed. 
[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1
A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:28:53Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle
** Particle Energy: Eparticle = mc2 
** Rest Energy
** Kinetic (particle)
* General Objects
** Kinetic: \frac{1}{2} m v 2
** Gravitational Potential:
** Spring (Elastic) Potential:
** Thermal Energy:
===General Formulas===
**

For any given isolated system, the total energy will remain constant regardless of any processes or interactions that occur in the domain. Therefore, energy cannot be created or destroyed. 
[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1
A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:28:05Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle: Eparticle = mc2
** Particle Energy
** Rest Energy
** Kinetic (particle)
* General Objects
** Kinetic: <math> \frac{1}{2} m v 2 </math>
** Gravitational Potential:
** Spring (Elastic) Potential:
** Thermal Energy:
===General Formulas===
**

For any given isolated system, the total energy will remain constant regardless of any processes or interactions that occur in the domain. Therefore, energy cannot be created or destroyed. 
[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1
A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]

Conservation of Energy

2017-04-08T22:27:34Z

Kylebarber:

Kyle Barber (kbarber8) claimed 03/26/2017

This page was originally created by ksubramanian33, as can be seen by the edit history.
 
x2

==Main Ideas==
* Conservation of energy mean that the total energy of a system will be the same before and after an event.
* This only applies to isolated systems (no outside forces acting on the system).
** Not Isolated: An object sliding across a rough floor (system = the object). There is work being done by the floor on the object because of the frictional force.
** Isolated: An object sliding across a rough floor (system = the object AND the floor). There is no work done on the system because all the forces are contained in the system.
===Main Types of Energy===
* Single Particle: <math> Eparticle = mc2 </math>
** Particle Energy
** Rest Energy
** Kinetic (particle)
* General Objects
** Kinetic: <math> \frac{1}{2} m v 2 </math>
** Gravitational Potential:
** Spring (Elastic) Potential:
** Thermal Energy:
===General Formulas===
**

For any given isolated system, the total energy will remain constant regardless of any processes or interactions that occur in the domain. Therefore, energy cannot be created or destroyed. 
[[File:IntroConservationEnergy.gif]]

The change in Energy=Q+W
 See Reference 1
A Mathematical Model

The most general mathematical formula to model the conservation of energy is Einitial = Efinal where '''E''' is the total energy of the system.
 More specifically, the total energy of the system can be described as the sum of the kinetic and potential energies. E = K + U where '''K''' is the total kinetic energy and '''U''' is the total potential energy.
 From this, you can infer that for an isolated system, any change in kinetic energy will correspond in an equal but opposite change in the potential energy and vice versa.

The above model is only applicable in an ideal, frictionless world without heat transfers. However, the adjustments needed to account for friction and heat are easy to include.
For an isolated system with friction, Einitial - W + Q = Efinal where '''W''' is the work done by friction and '''Q''' is the heat added to the system.
In this case, '''W''' and '''Q''' are provided by the surroundings of the system.

[[File:MathConservationEnergy.png]]
 See Reference 2

A Computational Model
The following demonstration provides a computer model that shows the changes in the different types of energy of the skater. In the initial simulation, there is no friction, so the energy changes between kinetic and potential, while the total energy remains constant. In the second simulation, friction is introduced, which results in thermal energy being created. This energy is then dissipated into the surroundings so the system of the skater loses total energy, but the total energy of the skater AND the surroundings still remains constant.

[https://www.youtube.com/watch?v=EZrJNIBX2wk Skater]

==Examples==

===Simple===
A ball is at rest on a table with 50 J of potential energy. It then rolls of the table, and at one point in time as it falls, the ball has 30 J of kinetic energy. 
What is the potential energy of the ball at that instant?

[[File:EasyEnergyConservation.png]]
 See Reference 3

Einitial = Efinal 
Kinitial + Uinitial = Kfinal + Ufinal 
0 J + 50 J = 30 J + Ufinal 
Ufinal = 20 J 

===Middling===
A ball is at rest 50 m above the ground. You then drop the ball. What is its speed before hitting the ground? 
[[File:HardEnergyConservation.gif]]
 See Reference 4 

v = 
√2gh 
 
v = 
√2(9.8)(50) 
 
v = 31.3 m/s



===Difficult===
The driver of an SUV (m = 1700 kg) isn’t paying attention and rear ends a car (m = 950 kg) on level ground at a red light. On impact, both drivers lock their brakes. The SUV and car stick together and travel a distance of 8.2 m before they come to a stop. How fast was the SUV traveling just before the collision? The coefficient of friction between the tires and the road is 0.72.
See Reference 5 

[[File: DifficultEnergyConservation.png]]
[[File: EnergyConservationStep1.png]] 
Notice how the mass is canceled. 
[[File: EnergyConservationStep2.png]]

==Connectedness==
Computer Science 
1. How is this topic connected to something that you are interested in? 
This concept is clearly connected to physics, which overall helps explain and sometimes predict how our world works. Knowing why and how things happen around me is something I find interesting since I can say it affects my daily life. 
2. How is it connected to your major? 
This topic is connected to computer science in the field of modeling and simulation. When you use computers to more efficiently model grand scale scenarios, it is important to take all fundamental concepts of physics, including the conservation of energy, into account. 
3. Is there an interesting industrial application? 
The law of conservation of energy is prevalent in nearly every industrial application of physics. More specifically, it is relevant today as finding renewable and sustainable forms of energy is becoming a more prevalent social and economic issue. It will be interesting to see how this concept will be applied as we try to get more energy for less. 

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
 Who: Julius Robert Mayer
 What: Most formally discovered the law of conservation of energy
 When: 1842
 Where: Germany
 Why: To explain what happens to energy in an isolated system
 See Reference 6

== See also ==

[[Kinetic Energy]] 
[[Potential Energy]] 
[[Work]] 
===Further reading===

Goldstein, Martin, and Inge F., (1993). The Refrigerator and the Universe. Harvard Univ. Press. A gentle introduction. 
Kroemer, Herbert; Kittel, Charles (1980). Thermal Physics (2nd ed.). W. H. Freeman Company. ISBN 0-7167-1088-9. 
Nolan, Peter J. (1996). Fundamentals of College Physics, 2nd ed. William C. Brown Publishers. 

===External links===
[http://www.physnet.org/modules/pdf_modules/m158.pdf The First Law of Thermodynamics]

==References==

1."Conservation of Energy." Hmolpedia. Web. 1 Dec. 2015. <http://www.eoht.info/page/Conservation+of+energy>. 
2. "University of Wisconsin Green Bay." Speed & Stopping Distance of a Roller-Coaster. Web. 1 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/2/>. 
3. "Motion." G9 to Engineering. Web. 1 Dec. 2015. <http://www.g9toengineering.com/resources/translational.htm>. 
4. "Energy of Falling Object." HyperPhysics. Web. 1 Dec. 2015. <http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html>. 
5. "Conservation of Energy & Momentum Problem: Collision of Two Cars at a Stoplight." University of Wisconsin- Green Bay Physics. Web. 2 Dec. 2015. <http://www.uwgb.edu/fenclh/problems/energy/6/>. 
6. "Law of Conservation of Mass Energy." Law of Conservation of Mass Energy. Web. 3 Dec. 2015. <http://www.chemteam.info/Thermochem/Law-Cons-Mass-Energy.html>.
[[Category:Energy]]