Physics Book - User contributions [en]

Spring Potential Energy

2016-04-18T03:53:25Z

Jpatel315: /* Spring Potential Energy */

CLAIMED BY JANKI PATEL 2016
This topic covers Spring Potential Energy.

==Spring Potential Energy==

[[File:Hookes-law-springs.png]]

Elastic potential energy, also known as spring potential energy, is the energy stored in elastic materials due to their deformation. This is most often seen in the stretching or compressing of springs.

===A Mathematical Model===
The formula for Ideal Spring Energy is:

'''U<sub>s</sub>=<sup>1</sup>&frasl;<sub>2</sub>k<sub>s</sub>s<sup>2</sup>'''

where:

'''k<sub>s</sub>'''= spring constant

'''s<sup>2</sup>'''= stretch measured from the equilibrium point;

[[File:spring.jpg|thumb|Spring Potential Energy]]

===A Computational Model===
An oscillating spring can be modeled by the following:

from __future__ import division
from visual import *
from visual.graph import *
scene.width=600
scene.height = 760
g = 9.8
mball = .2
Lo = 0.3
ks = 12
deltat = 1e-3
t = 0
ceiling = box(pos=(0,0,0), size = (0.5, 0.01, 0.2))
ball = sphere(pos=(0,-0.3,0), radius=0.025, color=color.yellow)
spring = helix(pos=ceiling.pos, color=color.green, thickness=.005, coils=10, radius=0.01)
spring.axis = ball.pos - ceiling.pos
vball = vector(0.02,0,0)
ball.p = mball*vball
scene.autoscale = 0
scene.center = vector(0,-Lo,0)
while t < 10:
rate(1000)
L_vector = (mag(ball.pos) - Lo)* ball.pos.norm()
Fspring = -ks * L_vector
Fgrav = vector(0,-mball * g,0)
Fnet = Fspring + Fgrav
ball.p = ball.p + Fnet * deltat
ball.pos = ball.pos + (ball.p/mball) * deltat
spring.axis = ball.pos-ceiling.pos
t = t + deltat

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
If a spring's spring constant is 200 N/m and it is stretched 1.5 meters from rest, what is the potential spring energy?

'''k<sub>s'''= 200 N/m

'''s'''= 1.5 m

'''U<sub>s'''=(0.5)k<sub>ss<sup>2

'''U<sub>s'''= (0.5)(200 N/m)(1.5 m)<sup>2

'''U<sub>s'''= 225 J

===Middling===
A horizontal spring with stiffness 0.6 N/m has a relaxed length of 10 cm. A mass of 25 g is attached and you stretch the spring to a length of 20 cm. The mass is released and moves with little friction. What is the speed of the mass at the moment when the spring returns to its relaxed length of 10cm?

'''k<sub>s'''= 0.6 N/m

'''s'''= 0.1 m

'''U<sub>s'''=(.5)k<sub>ss<sup>2= (.5)(0.6 N/m)(0.1 m)<sup>2

'''U<sub>s'''= 0.003 J

Potential Energy is Converted into Kinetic Energy (K):

'''U<sub>s'''= K

'''U<sub>s'''=(0.5)mv<sup>2

0.003 J=(0.5)(0.025 kg)v<sup>2

'''v<sup>2'''=<sup>(0.003 J)</sup>&frasl;<sub>((0.5)(0.025 kg)</sub>

'''v<sup>2'''=0.24 J/kg*s

'''v'''=0.49 m/s
===Difficult===

A package of mass 9 kg sits on an airless asteroid with mass 8.0x10<sup>20</sup> kg and radius 8.7x10<sup>5</sup> m. Your goal is to launch the package so that it will never come back and when it is very far away it will have a speed of 226 m/s. You have a spring whose stiffness is 2.8x10<sup>5</sup> N/m. How much must you compress the spring?

The initial condition for escape from the asteroid is:

K<sub>i</sub>+U<sub>i</sub>=<sup>1</sup>&frasl;<sub>2</sub>mv<sub>esc</sub><sup>2</sup> + (-G*<sup>Mm</sup>&frasl;<sub>R)</sub>=0

Potential energy of the spring equals the total energy in the system.

'''<sup>1</sup>&frasl;<sub>2</sub>k<sub>s</sub>s<sup>2</sup>'''=<sup>1</sup>&frasl;<sub>2</sub>mv<sub>esc</sub><sup>2</sup> +(-G*<sup>Mm</sup>&frasl;<sub>R</sub>)

'''s<sup>2</sup>'''= <sup>m</sup>&frasl;<sub>k<sub>s</sub></sub>(<sup>2GM</sup>&frasl;<sub>R</sub> +v<sup>2</sup>)=s<sup>2</sup> = <sup>9</sup>&frasl;<sub>2.8x10<sup>5</sup></sub>(<sup>2G8.0x10<sup>20</sup></sup>&frasl;<sub>8.7x10<sup>5</sup></sub>+226<sup>2</sup>)

'''s<sup>2</sup>'''=5.58 m

'''s'''=2.36 m

==Connectedness==

Because springs are all around us, from Slinkies to parts in automobiles, spring potential energy is useful in everyday life. One example of this is a trampoline. Without potential spring energy to allow for bounce, a trampoline would simply be a boring stretch of fabric. Spring potential is also used to absorb shock in vehicles. This allows for a smoother ride while traveling over bumps in the road.

[[File:rubberband.jpg|thumb|Rubber bands hold elastic potential energy]]

==History==

Elastic Potential Energy stemmed from the ideas of Robert Hooke, a 17th century British physicist who studied the relationship between forces applied to springs and elasticity. Hooke’s Law, which is a principle that states that the that the force needed to extend or compress a spring by a distance is proportional to that distance.

== See also ==

Spring potential energy is related to [[Hooke's Law]] and [[Potential Energy]].

===Further reading===

http://hyperphysics.phy-astr.gsu.edu/hbase/pespr.html

===External links===

[http://www.physicsclassroom.com/class/energy/Lesson-1/Potential-Energy]

==References==
#http://www.universetoday.com/55027/hookes-law/
#http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-2/Oscillation-Real-life-applications.html
#http://hyperphysics.phy-astr.gsu.edu/hbase/pespr.html
#Chabay and Bruce A. Sherwood. Matter & Interactions. 4th ed.

[[Category:Energy]]

Spring Potential Energy

2016-04-18T03:52:02Z

Jpatel315: /* Spring Potential Energy */

CLAIMED BY JANKI PATEL 2016
This topic covers Spring Potential Energy.

==Spring Potential Energy==

[[File:spring111222.png]]

Elastic potential energy, also known as spring potential energy, is the energy stored in elastic materials due to their deformation. This is most often seen in the stretching or compressing of springs.

===A Mathematical Model===
The formula for Ideal Spring Energy is:

'''U<sub>s</sub>=<sup>1</sup>&frasl;<sub>2</sub>k<sub>s</sub>s<sup>2</sup>'''

where:

'''k<sub>s</sub>'''= spring constant

'''s<sup>2</sup>'''= stretch measured from the equilibrium point;

[[File:spring.jpg|thumb|Spring Potential Energy]]

===A Computational Model===
An oscillating spring can be modeled by the following:

from __future__ import division
from visual import *
from visual.graph import *
scene.width=600
scene.height = 760
g = 9.8
mball = .2
Lo = 0.3
ks = 12
deltat = 1e-3
t = 0
ceiling = box(pos=(0,0,0), size = (0.5, 0.01, 0.2))
ball = sphere(pos=(0,-0.3,0), radius=0.025, color=color.yellow)
spring = helix(pos=ceiling.pos, color=color.green, thickness=.005, coils=10, radius=0.01)
spring.axis = ball.pos - ceiling.pos
vball = vector(0.02,0,0)
ball.p = mball*vball
scene.autoscale = 0
scene.center = vector(0,-Lo,0)
while t < 10:
rate(1000)
L_vector = (mag(ball.pos) - Lo)* ball.pos.norm()
Fspring = -ks * L_vector
Fgrav = vector(0,-mball * g,0)
Fnet = Fspring + Fgrav
ball.p = ball.p + Fnet * deltat
ball.pos = ball.pos + (ball.p/mball) * deltat
spring.axis = ball.pos-ceiling.pos
t = t + deltat

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
If a spring's spring constant is 200 N/m and it is stretched 1.5 meters from rest, what is the potential spring energy?

'''k<sub>s'''= 200 N/m

'''s'''= 1.5 m

'''U<sub>s'''=(0.5)k<sub>ss<sup>2

'''U<sub>s'''= (0.5)(200 N/m)(1.5 m)<sup>2

'''U<sub>s'''= 225 J

===Middling===
A horizontal spring with stiffness 0.6 N/m has a relaxed length of 10 cm. A mass of 25 g is attached and you stretch the spring to a length of 20 cm. The mass is released and moves with little friction. What is the speed of the mass at the moment when the spring returns to its relaxed length of 10cm?

'''k<sub>s'''= 0.6 N/m

'''s'''= 0.1 m

'''U<sub>s'''=(.5)k<sub>ss<sup>2= (.5)(0.6 N/m)(0.1 m)<sup>2

'''U<sub>s'''= 0.003 J

Potential Energy is Converted into Kinetic Energy (K):

'''U<sub>s'''= K

'''U<sub>s'''=(0.5)mv<sup>2

0.003 J=(0.5)(0.025 kg)v<sup>2

'''v<sup>2'''=<sup>(0.003 J)</sup>&frasl;<sub>((0.5)(0.025 kg)</sub>

'''v<sup>2'''=0.24 J/kg*s

'''v'''=0.49 m/s
===Difficult===

A package of mass 9 kg sits on an airless asteroid with mass 8.0x10<sup>20</sup> kg and radius 8.7x10<sup>5</sup> m. Your goal is to launch the package so that it will never come back and when it is very far away it will have a speed of 226 m/s. You have a spring whose stiffness is 2.8x10<sup>5</sup> N/m. How much must you compress the spring?

The initial condition for escape from the asteroid is:

K<sub>i</sub>+U<sub>i</sub>=<sup>1</sup>&frasl;<sub>2</sub>mv<sub>esc</sub><sup>2</sup> + (-G*<sup>Mm</sup>&frasl;<sub>R)</sub>=0

Potential energy of the spring equals the total energy in the system.

'''<sup>1</sup>&frasl;<sub>2</sub>k<sub>s</sub>s<sup>2</sup>'''=<sup>1</sup>&frasl;<sub>2</sub>mv<sub>esc</sub><sup>2</sup> +(-G*<sup>Mm</sup>&frasl;<sub>R</sub>)

'''s<sup>2</sup>'''= <sup>m</sup>&frasl;<sub>k<sub>s</sub></sub>(<sup>2GM</sup>&frasl;<sub>R</sub> +v<sup>2</sup>)=s<sup>2</sup> = <sup>9</sup>&frasl;<sub>2.8x10<sup>5</sup></sub>(<sup>2G8.0x10<sup>20</sup></sup>&frasl;<sub>8.7x10<sup>5</sup></sub>+226<sup>2</sup>)

'''s<sup>2</sup>'''=5.58 m

'''s'''=2.36 m

==Connectedness==

Because springs are all around us, from Slinkies to parts in automobiles, spring potential energy is useful in everyday life. One example of this is a trampoline. Without potential spring energy to allow for bounce, a trampoline would simply be a boring stretch of fabric. Spring potential is also used to absorb shock in vehicles. This allows for a smoother ride while traveling over bumps in the road.

[[File:rubberband.jpg|thumb|Rubber bands hold elastic potential energy]]

==History==

Elastic Potential Energy stemmed from the ideas of Robert Hooke, a 17th century British physicist who studied the relationship between forces applied to springs and elasticity. Hooke’s Law, which is a principle that states that the that the force needed to extend or compress a spring by a distance is proportional to that distance.

== See also ==

Spring potential energy is related to [[Hooke's Law]] and [[Potential Energy]].

===Further reading===

http://hyperphysics.phy-astr.gsu.edu/hbase/pespr.html

===External links===

[http://www.physicsclassroom.com/class/energy/Lesson-1/Potential-Energy]

==References==
#http://www.universetoday.com/55027/hookes-law/
#http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-2/Oscillation-Real-life-applications.html
#http://hyperphysics.phy-astr.gsu.edu/hbase/pespr.html
#Chabay and Bruce A. Sherwood. Matter & Interactions. 4th ed.

[[Category:Energy]]

File:Spring11122.png

2016-04-18T03:50:52Z

Jpatel315:

Spring Potential Energy

2016-04-18T03:49:35Z

Jpatel315: /* Spring Potential Energy */

CLAIMED BY JANKI PATEL 2016
This topic covers Spring Potential Energy.

==Spring Potential Energy==

[[File:spring1.png]]

Elastic potential energy, also known as spring potential energy, is the energy stored in elastic materials due to their deformation. This is most often seen in the stretching or compressing of springs.

===A Mathematical Model===
The formula for Ideal Spring Energy is:

'''U<sub>s</sub>=<sup>1</sup>&frasl;<sub>2</sub>k<sub>s</sub>s<sup>2</sup>'''

where:

'''k<sub>s</sub>'''= spring constant

'''s<sup>2</sup>'''= stretch measured from the equilibrium point;

[[File:spring.jpg|thumb|Spring Potential Energy]]

===A Computational Model===
An oscillating spring can be modeled by the following:

from __future__ import division
from visual import *
from visual.graph import *
scene.width=600
scene.height = 760
g = 9.8
mball = .2
Lo = 0.3
ks = 12
deltat = 1e-3
t = 0
ceiling = box(pos=(0,0,0), size = (0.5, 0.01, 0.2))
ball = sphere(pos=(0,-0.3,0), radius=0.025, color=color.yellow)
spring = helix(pos=ceiling.pos, color=color.green, thickness=.005, coils=10, radius=0.01)
spring.axis = ball.pos - ceiling.pos
vball = vector(0.02,0,0)
ball.p = mball*vball
scene.autoscale = 0
scene.center = vector(0,-Lo,0)
while t < 10:
rate(1000)
L_vector = (mag(ball.pos) - Lo)* ball.pos.norm()
Fspring = -ks * L_vector
Fgrav = vector(0,-mball * g,0)
Fnet = Fspring + Fgrav
ball.p = ball.p + Fnet * deltat
ball.pos = ball.pos + (ball.p/mball) * deltat
spring.axis = ball.pos-ceiling.pos
t = t + deltat

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
If a spring's spring constant is 200 N/m and it is stretched 1.5 meters from rest, what is the potential spring energy?

'''k<sub>s'''= 200 N/m

'''s'''= 1.5 m

'''U<sub>s'''=(0.5)k<sub>ss<sup>2

'''U<sub>s'''= (0.5)(200 N/m)(1.5 m)<sup>2

'''U<sub>s'''= 225 J

===Middling===
A horizontal spring with stiffness 0.6 N/m has a relaxed length of 10 cm. A mass of 25 g is attached and you stretch the spring to a length of 20 cm. The mass is released and moves with little friction. What is the speed of the mass at the moment when the spring returns to its relaxed length of 10cm?

'''k<sub>s'''= 0.6 N/m

'''s'''= 0.1 m

'''U<sub>s'''=(.5)k<sub>ss<sup>2= (.5)(0.6 N/m)(0.1 m)<sup>2

'''U<sub>s'''= 0.003 J

Potential Energy is Converted into Kinetic Energy (K):

'''U<sub>s'''= K

'''U<sub>s'''=(0.5)mv<sup>2

0.003 J=(0.5)(0.025 kg)v<sup>2

'''v<sup>2'''=<sup>(0.003 J)</sup>&frasl;<sub>((0.5)(0.025 kg)</sub>

'''v<sup>2'''=0.24 J/kg*s

'''v'''=0.49 m/s
===Difficult===

A package of mass 9 kg sits on an airless asteroid with mass 8.0x10<sup>20</sup> kg and radius 8.7x10<sup>5</sup> m. Your goal is to launch the package so that it will never come back and when it is very far away it will have a speed of 226 m/s. You have a spring whose stiffness is 2.8x10<sup>5</sup> N/m. How much must you compress the spring?

The initial condition for escape from the asteroid is:

K<sub>i</sub>+U<sub>i</sub>=<sup>1</sup>&frasl;<sub>2</sub>mv<sub>esc</sub><sup>2</sup> + (-G*<sup>Mm</sup>&frasl;<sub>R)</sub>=0

Potential energy of the spring equals the total energy in the system.

'''<sup>1</sup>&frasl;<sub>2</sub>k<sub>s</sub>s<sup>2</sup>'''=<sup>1</sup>&frasl;<sub>2</sub>mv<sub>esc</sub><sup>2</sup> +(-G*<sup>Mm</sup>&frasl;<sub>R</sub>)

'''s<sup>2</sup>'''= <sup>m</sup>&frasl;<sub>k<sub>s</sub></sub>(<sup>2GM</sup>&frasl;<sub>R</sub> +v<sup>2</sup>)=s<sup>2</sup> = <sup>9</sup>&frasl;<sub>2.8x10<sup>5</sup></sub>(<sup>2G8.0x10<sup>20</sup></sup>&frasl;<sub>8.7x10<sup>5</sup></sub>+226<sup>2</sup>)

'''s<sup>2</sup>'''=5.58 m

'''s'''=2.36 m

==Connectedness==

Because springs are all around us, from Slinkies to parts in automobiles, spring potential energy is useful in everyday life. One example of this is a trampoline. Without potential spring energy to allow for bounce, a trampoline would simply be a boring stretch of fabric. Spring potential is also used to absorb shock in vehicles. This allows for a smoother ride while traveling over bumps in the road.

[[File:rubberband.jpg|thumb|Rubber bands hold elastic potential energy]]

==History==

Elastic Potential Energy stemmed from the ideas of Robert Hooke, a 17th century British physicist who studied the relationship between forces applied to springs and elasticity. Hooke’s Law, which is a principle that states that the that the force needed to extend or compress a spring by a distance is proportional to that distance.

== See also ==

Spring potential energy is related to [[Hooke's Law]] and [[Potential Energy]].

===Further reading===

http://hyperphysics.phy-astr.gsu.edu/hbase/pespr.html

===External links===

[http://www.physicsclassroom.com/class/energy/Lesson-1/Potential-Energy]

==References==
#http://www.universetoday.com/55027/hookes-law/
#http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-2/Oscillation-Real-life-applications.html
#http://hyperphysics.phy-astr.gsu.edu/hbase/pespr.html
#Chabay and Bruce A. Sherwood. Matter & Interactions. 4th ed.

[[Category:Energy]]

Spring Potential Energy

2016-04-18T03:49:10Z

Jpatel315: /* Spring Potential Energy */

CLAIMED BY JANKI PATEL 2016
This topic covers Spring Potential Energy.

==Spring Potential Energy==

[[File:spring.png]]

Elastic potential energy, also known as spring potential energy, is the energy stored in elastic materials due to their deformation. This is most often seen in the stretching or compressing of springs.

===A Mathematical Model===
The formula for Ideal Spring Energy is:

'''U<sub>s</sub>=<sup>1</sup>&frasl;<sub>2</sub>k<sub>s</sub>s<sup>2</sup>'''

where:

'''k<sub>s</sub>'''= spring constant

'''s<sup>2</sup>'''= stretch measured from the equilibrium point;

[[File:spring.jpg|thumb|Spring Potential Energy]]

===A Computational Model===
An oscillating spring can be modeled by the following:

from __future__ import division
from visual import *
from visual.graph import *
scene.width=600
scene.height = 760
g = 9.8
mball = .2
Lo = 0.3
ks = 12
deltat = 1e-3
t = 0
ceiling = box(pos=(0,0,0), size = (0.5, 0.01, 0.2))
ball = sphere(pos=(0,-0.3,0), radius=0.025, color=color.yellow)
spring = helix(pos=ceiling.pos, color=color.green, thickness=.005, coils=10, radius=0.01)
spring.axis = ball.pos - ceiling.pos
vball = vector(0.02,0,0)
ball.p = mball*vball
scene.autoscale = 0
scene.center = vector(0,-Lo,0)
while t < 10:
rate(1000)
L_vector = (mag(ball.pos) - Lo)* ball.pos.norm()
Fspring = -ks * L_vector
Fgrav = vector(0,-mball * g,0)
Fnet = Fspring + Fgrav
ball.p = ball.p + Fnet * deltat
ball.pos = ball.pos + (ball.p/mball) * deltat
spring.axis = ball.pos-ceiling.pos
t = t + deltat

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
If a spring's spring constant is 200 N/m and it is stretched 1.5 meters from rest, what is the potential spring energy?

'''k<sub>s'''= 200 N/m

'''s'''= 1.5 m

'''U<sub>s'''=(0.5)k<sub>ss<sup>2

'''U<sub>s'''= (0.5)(200 N/m)(1.5 m)<sup>2

'''U<sub>s'''= 225 J

===Middling===
A horizontal spring with stiffness 0.6 N/m has a relaxed length of 10 cm. A mass of 25 g is attached and you stretch the spring to a length of 20 cm. The mass is released and moves with little friction. What is the speed of the mass at the moment when the spring returns to its relaxed length of 10cm?

'''k<sub>s'''= 0.6 N/m

'''s'''= 0.1 m

'''U<sub>s'''=(.5)k<sub>ss<sup>2= (.5)(0.6 N/m)(0.1 m)<sup>2

'''U<sub>s'''= 0.003 J

Potential Energy is Converted into Kinetic Energy (K):

'''U<sub>s'''= K

'''U<sub>s'''=(0.5)mv<sup>2

0.003 J=(0.5)(0.025 kg)v<sup>2

'''v<sup>2'''=<sup>(0.003 J)</sup>&frasl;<sub>((0.5)(0.025 kg)</sub>

'''v<sup>2'''=0.24 J/kg*s

'''v'''=0.49 m/s
===Difficult===

A package of mass 9 kg sits on an airless asteroid with mass 8.0x10<sup>20</sup> kg and radius 8.7x10<sup>5</sup> m. Your goal is to launch the package so that it will never come back and when it is very far away it will have a speed of 226 m/s. You have a spring whose stiffness is 2.8x10<sup>5</sup> N/m. How much must you compress the spring?

The initial condition for escape from the asteroid is:

K<sub>i</sub>+U<sub>i</sub>=<sup>1</sup>&frasl;<sub>2</sub>mv<sub>esc</sub><sup>2</sup> + (-G*<sup>Mm</sup>&frasl;<sub>R)</sub>=0

Potential energy of the spring equals the total energy in the system.

'''<sup>1</sup>&frasl;<sub>2</sub>k<sub>s</sub>s<sup>2</sup>'''=<sup>1</sup>&frasl;<sub>2</sub>mv<sub>esc</sub><sup>2</sup> +(-G*<sup>Mm</sup>&frasl;<sub>R</sub>)

'''s<sup>2</sup>'''= <sup>m</sup>&frasl;<sub>k<sub>s</sub></sub>(<sup>2GM</sup>&frasl;<sub>R</sub> +v<sup>2</sup>)=s<sup>2</sup> = <sup>9</sup>&frasl;<sub>2.8x10<sup>5</sup></sub>(<sup>2G8.0x10<sup>20</sup></sup>&frasl;<sub>8.7x10<sup>5</sup></sub>+226<sup>2</sup>)

'''s<sup>2</sup>'''=5.58 m

'''s'''=2.36 m

==Connectedness==

Because springs are all around us, from Slinkies to parts in automobiles, spring potential energy is useful in everyday life. One example of this is a trampoline. Without potential spring energy to allow for bounce, a trampoline would simply be a boring stretch of fabric. Spring potential is also used to absorb shock in vehicles. This allows for a smoother ride while traveling over bumps in the road.

[[File:rubberband.jpg|thumb|Rubber bands hold elastic potential energy]]

==History==

Elastic Potential Energy stemmed from the ideas of Robert Hooke, a 17th century British physicist who studied the relationship between forces applied to springs and elasticity. Hooke’s Law, which is a principle that states that the that the force needed to extend or compress a spring by a distance is proportional to that distance.

== See also ==

Spring potential energy is related to [[Hooke's Law]] and [[Potential Energy]].

===Further reading===

http://hyperphysics.phy-astr.gsu.edu/hbase/pespr.html

===External links===

[http://www.physicsclassroom.com/class/energy/Lesson-1/Potential-Energy]

==References==
#http://www.universetoday.com/55027/hookes-law/
#http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-2/Oscillation-Real-life-applications.html
#http://hyperphysics.phy-astr.gsu.edu/hbase/pespr.html
#Chabay and Bruce A. Sherwood. Matter & Interactions. 4th ed.

[[Category:Energy]]

Spring Potential Energy

2016-04-18T03:43:36Z

Jpatel315:

CLAIMED BY JANKI PATEL 2016
This topic covers Spring Potential Energy.

==Spring Potential Energy==

Elastic potential energy, also known as spring potential energy, is the energy stored in elastic materials due to their deformation. This is most often seen in the stretching or compressing of springs.

===A Mathematical Model===
The formula for Ideal Spring Energy is:

'''U<sub>s</sub>=<sup>1</sup>&frasl;<sub>2</sub>k<sub>s</sub>s<sup>2</sup>'''

where:

'''k<sub>s</sub>'''= spring constant

'''s<sup>2</sup>'''= stretch measured from the equilibrium point;

[[File:spring.jpg|thumb|Spring Potential Energy]]

===A Computational Model===
An oscillating spring can be modeled by the following:

from __future__ import division
from visual import *
from visual.graph import *
scene.width=600
scene.height = 760
g = 9.8
mball = .2
Lo = 0.3
ks = 12
deltat = 1e-3
t = 0
ceiling = box(pos=(0,0,0), size = (0.5, 0.01, 0.2))
ball = sphere(pos=(0,-0.3,0), radius=0.025, color=color.yellow)
spring = helix(pos=ceiling.pos, color=color.green, thickness=.005, coils=10, radius=0.01)
spring.axis = ball.pos - ceiling.pos
vball = vector(0.02,0,0)
ball.p = mball*vball
scene.autoscale = 0
scene.center = vector(0,-Lo,0)
while t < 10:
rate(1000)
L_vector = (mag(ball.pos) - Lo)* ball.pos.norm()
Fspring = -ks * L_vector
Fgrav = vector(0,-mball * g,0)
Fnet = Fspring + Fgrav
ball.p = ball.p + Fnet * deltat
ball.pos = ball.pos + (ball.p/mball) * deltat
spring.axis = ball.pos-ceiling.pos
t = t + deltat

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
If a spring's spring constant is 200 N/m and it is stretched 1.5 meters from rest, what is the potential spring energy?

'''k<sub>s'''= 200 N/m

'''s'''= 1.5 m

'''U<sub>s'''=(0.5)k<sub>ss<sup>2

'''U<sub>s'''= (0.5)(200 N/m)(1.5 m)<sup>2

'''U<sub>s'''= 225 J

===Middling===
A horizontal spring with stiffness 0.6 N/m has a relaxed length of 10 cm. A mass of 25 g is attached and you stretch the spring to a length of 20 cm. The mass is released and moves with little friction. What is the speed of the mass at the moment when the spring returns to its relaxed length of 10cm?

'''k<sub>s'''= 0.6 N/m

'''s'''= 0.1 m

'''U<sub>s'''=(.5)k<sub>ss<sup>2= (.5)(0.6 N/m)(0.1 m)<sup>2

'''U<sub>s'''= 0.003 J

Potential Energy is Converted into Kinetic Energy (K):

'''U<sub>s'''= K

'''U<sub>s'''=(0.5)mv<sup>2

0.003 J=(0.5)(0.025 kg)v<sup>2

'''v<sup>2'''=<sup>(0.003 J)</sup>&frasl;<sub>((0.5)(0.025 kg)</sub>

'''v<sup>2'''=0.24 J/kg*s

'''v'''=0.49 m/s
===Difficult===

A package of mass 9 kg sits on an airless asteroid with mass 8.0x10<sup>20</sup> kg and radius 8.7x10<sup>5</sup> m. Your goal is to launch the package so that it will never come back and when it is very far away it will have a speed of 226 m/s. You have a spring whose stiffness is 2.8x10<sup>5</sup> N/m. How much must you compress the spring?

The initial condition for escape from the asteroid is:

K<sub>i</sub>+U<sub>i</sub>=<sup>1</sup>&frasl;<sub>2</sub>mv<sub>esc</sub><sup>2</sup> + (-G*<sup>Mm</sup>&frasl;<sub>R)</sub>=0

Potential energy of the spring equals the total energy in the system.

'''<sup>1</sup>&frasl;<sub>2</sub>k<sub>s</sub>s<sup>2</sup>'''=<sup>1</sup>&frasl;<sub>2</sub>mv<sub>esc</sub><sup>2</sup> +(-G*<sup>Mm</sup>&frasl;<sub>R</sub>)

'''s<sup>2</sup>'''= <sup>m</sup>&frasl;<sub>k<sub>s</sub></sub>(<sup>2GM</sup>&frasl;<sub>R</sub> +v<sup>2</sup>)=s<sup>2</sup> = <sup>9</sup>&frasl;<sub>2.8x10<sup>5</sup></sub>(<sup>2G8.0x10<sup>20</sup></sup>&frasl;<sub>8.7x10<sup>5</sup></sub>+226<sup>2</sup>)

'''s<sup>2</sup>'''=5.58 m

'''s'''=2.36 m

==Connectedness==

Because springs are all around us, from Slinkies to parts in automobiles, spring potential energy is useful in everyday life. One example of this is a trampoline. Without potential spring energy to allow for bounce, a trampoline would simply be a boring stretch of fabric. Spring potential is also used to absorb shock in vehicles. This allows for a smoother ride while traveling over bumps in the road.

[[File:rubberband.jpg|thumb|Rubber bands hold elastic potential energy]]

==History==

Elastic Potential Energy stemmed from the ideas of Robert Hooke, a 17th century British physicist who studied the relationship between forces applied to springs and elasticity. Hooke’s Law, which is a principle that states that the that the force needed to extend or compress a spring by a distance is proportional to that distance.

== See also ==

Spring potential energy is related to [[Hooke's Law]] and [[Potential Energy]].

===Further reading===

http://hyperphysics.phy-astr.gsu.edu/hbase/pespr.html

===External links===

[http://www.physicsclassroom.com/class/energy/Lesson-1/Potential-Energy]

==References==
#http://www.universetoday.com/55027/hookes-law/
#http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-2/Oscillation-Real-life-applications.html
#http://hyperphysics.phy-astr.gsu.edu/hbase/pespr.html
#Chabay and Bruce A. Sherwood. Matter & Interactions. 4th ed.

[[Category:Energy]]

Main Page

2016-04-18T00:07:33Z

Jpatel315: /* Potential energy */

__NOTOC__
Welcome to the Georgia Tech Wiki for Introductory Physics. This resource was created so that students can contribute and curate content to help those with limited or no access to a textbook. When reading this website, please correct any errors you may come across. If you read something that isn't clear, please consider revising it for future students!

Looking to make a contribution?
#Pick one of the topics from intro physics listed below
#Add content to that topic or improve the quality of what is already there.
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Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations. Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.

== Source Material ==
All of the content added to this resource must be in the public domain or similar free resource. If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web. Here is an incomplete list of intro physics resources (please update as needed).
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]
* A wiki written for students by a physics expert [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes MSU Physics Wiki]
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]

== Organizing Categories ==
These are the broad, overarching categories, that we cover in three semester of introductory physics. You can add subcategories as needed but a single topic should direct readers to a page in one of these categories.

== Resources ==
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]
* A page to keep track of all the physics [[Constants]]
* A page for review of [[Vectors]] and vector operations
* A listing of [[Notable Scientist]] with links to their individual pages

<div style="float:left; width:30%; padding:1%;">
==Physics 1==
===Week 1===

====Student Content====
<div class=“toccolours mw-collapsible mw-collapsed”>
=====Help with VPython=====
<div class=“mw-collapsible-content”>
*[[VPython]]
*[[VPython basics]]
*[[VPython Common Errors and Troubleshooting]]
*[[VPython Functions]]
*[[VPython Lists]]
*[[VPython Loops]]
*[[VPython Multithreading]]
*[[VPython Animation]]
*[[VPython Objects]]
*[[VPython 3D Objects]]
*[[VPython Reference]]
*[[VPython MapReduceFilter]]
*[[VPython GUIs]]
</div>
</div>

<div class=“toccolours mw-collapsible mw-collapsed”>
=====Vectors and Units=====
<div class=“mw-collapsible-content”>
*[[Vectors]]
*[[SI units]]
</div>
</div>

<div class=“toccolours mw-collapsible mw-collapsed”>

=====Interactions=====
<div class=“mw-collapsible-content”>
</div>
</div>
*[[Types of Interactions and How to Detect Them]]

<div class=“toccolours mw-collapsible mw-collapsed”>

=====Velocity and Momentum=====
<div class=“mw-collapsible-content”>
*[[Newton’s First Law of Motion]]
*[[Velocity]]
*[[Mass]]
*[[Speed and Velocity]]
*[[Relative Velocity]]
*[[Derivation of Average Velocity]]
*[[2-Dimensional Motion]]
*[[3-Dimensional Position and Motion]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:vpython_resources Software for Projects]

</div>

===Week 2===
====Student Content====
<div class=“toccolours mw-collapsible mw-collapsed”>
=====Momentum and the Momentum Principle=====
<div class=“mw-collapsible-content”>
*[[Momentum Principle]]
*[[Inertia]]
*[[Net Force]]
*[[Derivation of the Momentum Principle]]
*[[Impulse Momentum]]
*[[Acceleration]]
*[[Momentum with respect to external Forces]]
</div>
</div>

<div class=“toccolours mw-collapsible mw-collapsed”>
=====Iterative Prediction with a Constant Force=====
<div class=“mw-collapsible-content”>
*[[Newton’s Second Law of Motion]]
*[[Iterative Prediction]]
*[[Kinematics]]
*[[Newton’s Laws and Linear Momentum]]
*[[Projectile Motion]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:scalars_and_vectors Scalars and Vectors]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:displacement_and_velocity Displacement and Velocity]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:modeling_with_vpython Modeling Motion with VPython]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:relative_motion Relative Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:graphing_motion Graphing Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:momentum Momentum]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:momentum_principle The Momentum Principle]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:acceleration Acceleration & The Change in Momentum]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:motionPredict Applying the Momentum Principle]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:constantF Constant Force Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:iterativePredict Iterative Prediction of Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:mp_multi The Momentum Principle in Multi-particle Systems]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:angular_motivation Why Angular Momentum?]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:ang_momentum Angular Momentum]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_principle Net Torque & The Angular Momentum Principle]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_conservation Angular Momentum Conservation]

</div>

===Week 3===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Analytic Prediction with a Constant Force=====
<div \
class=“mw-collapsible-content”>
*[[Analytical Prediction]]
</div>
</div>

<div class=“toccolours mw-collapsible mw-collapsed”>
=====Iterative Prediction with a Varying Force=====
<div \
class=“mw-collapsible-content”>
*[[Predicting Change in multiple dimensions]]
*[[Spring Force]]
*[[Hooke’s Law]]
*[[Simple Harmonic Motion]]
*[[Iterative Prediction of Spring-Mass System]]
*[[Terminal Speed]]
*[[Determinism]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:drag Drag]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:gravitation Non-constant Force: Newtonian Gravitation]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:ucm Uniform Circular Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:impulseGraphs Impulse Graphs]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:springMotion Non-constant Force: Springs & Spring-like Interactions]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:friction Contact Interactions: The Normal Force & Friction]

</div>

===Week 4===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Fundamental Interactions=====
<div class=“mw-collapsible-content”>
*[[Gravitational Force]]
*[[Electric Force]]
*[[Reciprocity]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:gravitation Non-constant Force: Newtonian Gravitation]

</div>

===Week 5===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Conservation of Momentum=====
<div class=“mw-collapsible-content”>
*[[Conservation of Momentum]]
</div>
</div>
<div class=“toccolours mw-collapsible mw-collapsed”>

=====Properties of Matter=====
<div class=“mw-collapsible-content”>
*[[Kinds of Matter]]
**[[Ball and Spring Model of Matter]]
*[[Density]]
*[[Length and Stiffness of an Interatomic Bond]]
*[[Young’s Modulus]]
*[[Speed of Sound in Solids]]
*[[Malleability]]
*[[Ductility]]
*[[Weight]]
*[[Hardness]]
*[[Boiling Point]]
*[[Melting Point]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:model_of_a_wire Modeling a Solid Wire: springs in series and parallel]

</div>

===Week 6===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Identifying Forces=====
<div class=“mw-collapsible-content”>
*[[Free Body Diagram]]
*[[Compression or Normal Force]]
*[[Tension]]
</div>
</div>
<div class=“toccolours mw-collapsible mw-collapsed”>
=====Curving Motion=====
<div class=“mw-collapsible-content”>
*[[Curving Motion]]
*[[Centripetal Force and Curving Motion]]
*[[Perpetual Freefall (Orbit)]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:gravitation Non-constant Force: Newtonian Gravitation]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_accel Gravitational Acceleration]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:ucm Uniform Circular Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:freebodydiagrams Free Body Diagrams]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:curving_motion Curved Motion]

</div>

===Week 7===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Energy Principle=====
<div class=“mw-collapsible-content”>
*[[The Energy Principle]]
*[[Conservation of Energy]]
*[[Kinetic Energy]]
*[[Work]]
*[[Power (Mechanical)]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:define_energy What is Energy?]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:point_particle The Simplest System: A Single Particle]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:work Work: Mechanical Energy Transfer]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_cons Conservation of Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:potential_energy Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_and_spring_PE (Near Earth) Gravitational and Spring Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:force_and_PE Force and Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:newton_grav_pe Newtonian Gravitational Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:spring_PE Spring Potential Energy]

</div>

===Week 8===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Work by Non-Constant Forces=====
<div \
class=“mw-collapsible-content”>
*[[Work Done By A Nonconstant Force]]
</div>
</div>
<div class=“toccolours mw-collapsible mw-collapsed”>
=====Potential Energy=====
<div class=“mw-collapsible-content”>
*[[Potential Energy]]
*[[Potential Energy of Macroscopic Springs]]
*[[Spring Potential Energy]]
**[[Ball and Spring Model]]
*[[Gravitational Potential Energy]]
*[[Energy Graphs]]
*[[Escape Velocity]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:work_by_nc_forces Work Done by Non-Constant Forces]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:potential_energy Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_and_spring_PE (Near Earth) Gravitational and Spring Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:rest_mass Changes of Rest Mass Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:force_and_PE Force and Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:newton_grav_pe Newtonian Gravitational Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_pe_graphs Graphing Energy for Gravitationally Interacting Systems]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:spring_PE Spring Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:power Power: The Rate of Energy Change]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_dissipation Dissipation of Energy]

</div>

===Week 9===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Multiparticle Systems=====
<div class=“mw-collapsible-content”>
*[[Center of Mass]]
*[[Multi-particle analysis of Momentum]]
*[[Momentum with respect to external Forces]]
*[[Potential Energy of a Multiparticle System]]
*[[Work and Energy for an Extended System]]
*[[Internal Energy]]
**[[Potential Energy of a Pair of Neutral Atoms]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:mp_multi The Momentum Principle in Multi-particle Systems]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:center_of_mass Center of Mass Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:center_of_mass Center of Mass Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_sep Separating Energy in Multi-Particle Systems]

</div>

===Week 10===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Choice of System=====
<div class=“mw-collapsible-content”>
*[[System & Surroundings]]
</div>
</div>
<div class=“toccolours mw-collapsible mw-collapsed”>
=====Thermal Energy, Dissipation and Transfer of Energy=====
<div \
class=“mw-collapsible-content”>
*[[Thermal Energy]]
*[[Specific Heat]]
*[[Heat Capacity]]
*[[Specific Heat Capacity]]
*[[First Law of Thermodynamics]]
*[[Second Law of Thermodynamics and Entropy]]
*[[Temperature]]
*[[Predicting Change]]
*[[Energy Transfer due to a Temperature Difference]]
*[[Transformation of Energy]]
*[[The Maxwell-Boltzmann Distribution]]
*[[Air Resistance]]
</div>
</div>
<div class=“toccolours mw-collapsible mw-collapsed”>
=====Rotational and Vibrational Energy=====
<div \
class=“mw-collapsible-content”>
*[[Translational, Rotational and Vibrational Energy]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_and_spring_PE (Near Earth) Gravitational and Spring Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:rest_mass Changes of Rest Mass Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:newton_grav_pe Newtonian Gravitational Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_pe_graphs Graphing Energy for Gravitationally Interacting Systems]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:escape_speed Escape Speed]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:spring_PE Spring Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:internal_energy Internal Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:system_choice Choosing a System Matters]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_dissipation Dissipation of Energy]

</div>

===Week 11===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Different Models of a System=====
<div \
class=“mw-collapsible-content”>
*[[Point Particle Systems]]
*[[Real Systems]]
</div>
</div>
<div class=“toccolours mw-collapsible mw-collapsed”>

=====Models of Friction=====
<div class=“mw-collapsible-content”>
*[[Friction]]
*[[Static Friction]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:system_choice Choosing a System Matters]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_dissipation Dissipation of Energy]

</div>

===Week 12===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Collisions=====
<div class=“mw-collapsible-content”>
*[[Newton’s Third Law of Motion]]
*[[Collisions]]
*[[Elastic Collisions]]
*[[Inelastic Collisions]]
*[[Maximally Inelastic Collision]]
*[[Head-on Collision of Equal Masses]]
*[[Head-on Collision of Unequal Masses]]
*[[Scattering: Collisions in 2D and 3D]]
*[[Rutherford Experiment and Atomic Collisions]]
*[[Coefficient of Restitution]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:collisions Colliding Objects]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:center_of_mass Center of Mass Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:center_of_mass Center of Mass Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:rot_KE Rotational Kinetic Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:pp_vs_real Point Particle and Real Systems]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:colliding_systems Collisions]

</div>

===Week 13===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Rotations=====
<div class=“mw-collapsible-content”>
*[[Rotation]]
*[[Angular Velocity]]
*[[Eulerian Angles]]
</div>
</div>
<div class=“toccolours mw-collapsible mw-collapsed”>
=====Angular Momentum=====
<div class=“mw-collapsible-content”>
*[[Total Angular Momentum]]
*[[Translational Angular Momentum]]
*[[Rotational Angular Momentum]]
*[[The Angular Momentum Principle]]
*[[Angular Momentum Compared to Linear Momentum]]
*[[Angular Impulse]]
*[[Predicting the Position of a Rotating System]]
*[[Angular Momentum of Multiparticle Systems]]
*[[The Moments of Inertia]]
*[[Moment of Inertia for a cylinder]]
*[[Right Hand Rule]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:rot_KE Rotational Kinetic Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:angular_motivation Why Angular Momentum?]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:ang_momentum Angular Momentum]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_principle Net Torque & The Angular Momentum Principle]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_conservation Angular Momentum Conservation]

</div>
===Week 14===

====Student Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>
=====Analyzing Motion with and without Torque=====
<div \
class=“mw-collapsible-content”>
*[[Torque]]
*[[Torque 2]]
*[[Systems with Zero Torque]]
*[[Systems with Nonzero Torque]]
*[[Torque vs Work]]
*[[Gyroscopes]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:discovery_of_the_nucleus Discovery of the Nucleus]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:torque Torques Cause Changes in Rotation]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_principle Net Torque & The Angular Momentum Principle]

</div>

===Week 15===

====Student Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>
=====Introduction to Quantum Concepts=====
<div \class=“mw-collapsible-content”>
*[[Bohr Model]]
*[[Energy graphs and the Bohr model]]
*[[Quantized energy levels]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:discovery_of_the_nucleus Discovery of the Nucleus]

</div>

<div style=“float:left; width:30%; padding:1%;”>

==Physics 2==
===Week 1===
<div class="toccolours mw-collapsible mw-collapsed">
====3D Vectors====
<div class="mw-collapsible-content">
*[[Vectors]]
*[[Right-Hand Rule]]
*[[Right Hand Rule]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

<div class="mw-collapsible-content">
*[[Electric field]]
</div>
'''CLAIMED BY DIPRO CHAKRABORTY'''

<div class="toccolours mw-collapsible mw-collapsed">

====Electric force====
<div class="mw-collapsible-content">

*[[Electric Force]] Claimed by Amarachi Eze
*[[Lorentz Force]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Electric field of a point particle====

<div class="mw-collapsible-content">
*[[Point Charge]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

'''Bold text'''====Superposition====
<div class="mw-collapsible-content">
*[[Superposition Principle]]
*[[Superposition principle]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Dipoles====
<div class="mw-collapsible-content">
*[[Electric Dipole]]
*[[Magnetic Dipole]]
</div>
</div>

===Week 2===
<div class="toccolours mw-collapsible mw-collapsed">
====Interactions of charged objects====
<div class="mw-collapsible-content">
*[[Electric Field]]
*[[Electric Potential]]
*[[Electric Force]]
*[[Lorentz Force]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Tape experiments====
<div class="mw-collapsible-content">
*[[Polarization]]
*[[Electric Polarization]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Polarization====
<div class="mw-collapsible-content">
*[[Polarization]]
*[[Electric Polarization]]
*[[Polarization of an Atom]]
</div>
</div>

===Week 3===
<div class="toccolours mw-collapsible mw-collapsed">
====Insulators====
<div class="mw-collapsible-content">
*[[Insulators]]
*[[Potential Difference in an Insulator]]
*[[Charged Conductor and Charged Insulator]]
*[[Charged conductor and charged insulator]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Conductors====
<div class="mw-collapsible-content">
*[[Conductivity]]
*[[Charge Transfer]]
*[[Resistivity]]
*[[Polarization of a conductor]]
*[[Charged Conductor and Charged Insulator]]
*[[Charged conductor and charged insulator]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Charging and discharging====
<div class="mw-collapsible-content">
*[[Charge Transfer]]
*[[Electrostatic Discharge]]
*[[Charged Conductor and Charged Insulator]]
*[[Charged conductor and charged insulator]]
</div>
</div>

===Week 4===
<div class="toccolours mw-collapsible mw-collapsed">
====Field of a charged rod====
<div class="mw-collapsible-content">
*[[Charged Rod]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Field of a charged ring/disk/capacitor====
<div class="mw-collapsible-content">
*[[Charged Ring]]
*[[Charged Disk]]
*[[Charged Capacitor]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Field of a charged sphere====
<div class="mw-collapsible-content">
*[[Charged Spherical Shell]]
*[[Field of a Charged Ball]]
</div>
</div>

===Week 5===
<div class="toccolours mw-collapsible mw-collapsed">
====Potential energy====
<div class="mw-collapsible-content">
*[[Potential Energy - Claimed by Janki Patel]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Electric potential====
<div class="mw-collapsible-content">
*[[Electric Potential]]
*[[Path Independence of Electric Potential]]
*[[Potential Difference Path Independence, claimed by Aditya Mohile]]
*[[Potential Difference in a Uniform Field]]
*[[Potential Difference of Point Charge in a Non-Uniform Field]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

====Sign of Potential Difference====
<div class="mw-collapsible-content">
*[[Sign of Potential Difference]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

====Potential at a single location====
<div class="mw-collapsible-content">
*[[Electric Potential]]
*[[Potential Difference at One Location]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Path independence and round trip potential====
<div class="mw-collapsible-content">
*[[Path Independence of Electric Potential]]
*[[Potential Difference Path Independence, claimed by Aditya Mohile]]
</div>
</div>

===Week 6===
<div class="toccolours mw-collapsible mw-collapsed">
====Electric field and potential in an insulator====
<div class="mw-collapsible-content">
*[[Potential Difference in an Insulator]]
*[[Electric Field in an Insulator]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

====Moving charges in a magnetic field====
<div class="mw-collapsible-content">
*[[Magnetic Field]]
*[[Magnetic Force]]
*[[Lorentz Force]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

====Biot-Savart Law====
<div class="mw-collapsible-content">
*[[Biot-Savart Law]]
*[[Biot-Savart Law for Currents]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

====Moving charges, electron current, and conventional current====
<div class="mw-collapsible-content">
*[[Moving Point Charge]]
*[[Current]]
</div>
</div>

===Week 7===
<div class="toccolours mw-collapsible mw-collapsed">

====Magnetic field of a wire====
<div class="mw-collapsible-content">
*[[Magnetic Field of a Long Straight Wire]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Magnetic field of a current-carrying loop====
<div class="mw-collapsible-content">
*[[Magnetic Field of a Loop]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Magnetic dipoles====
<div class="mw-collapsible-content">
*[[Magnetic Dipole Moment]]
*[[Bar Magnet]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Atomic structure of magnets====
<div class="mw-collapsible-content">
*[[Atomic Structure of Magnets]]
</div>
</div>

===Week 8===
<div class="toccolours mw-collapsible mw-collapsed">
====Steady state current====
<div class="mw-collapsible-content">
*[[Steady State]]
*[[Non Steady State]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Node rule====
<div class="mw-collapsible-content">
*[[Node Rule]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Electric fields and energy in circuits====
<div class="mw-collapsible-content">
*[[Series circuit]]
*[[Node Rule]]
*[[Loop Rule]]
*[[Electric Potential Difference]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Macroscopic analysis of circuits====
<div class="mw-collapsible-content">
*[[Series Circuits]]
*[[Parallel CIrcuits]]
*[[Parallel Circuits vs. Series Circuits*]]
*[[Loop Rule]]
*[[Node Rule]]
*[[Fundamentals of Resistance]]
</div>
</div>

===Week 9===
<div class="toccolours mw-collapsible mw-collapsed">
====Electric field and potential in circuits with capacitors====
<div class="mw-collapsible-content">
*[[Charging and Discharging a Capacitor]]
*[[RC Circuit]] *CLAIMED BY MARK RUSSELL SPRING 2016
*[[R Circuit]]
*[[AC and DC]]

</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Magnetic forces on charges and currents====
<div class="mw-collapsible-content">
*[[Magnetic Force]]
*[[Lorentz Force]]
*[[Applying Magnetic Force to Currents]]
*[[Magnetic Force in a Moving Reference Frame]]
*[[Right-Hand Rule]]
*[[Analysis of Railgun vs Coil gun technologies]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Electric and magnetic forces====
<div class="mw-collapsible-content">
*[[Electric Force]]
*[[Magnetic Force]]
*[[Lorentz Force]]
*[[VPython Modelling of Electric and Magnetic Forces]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Velocity selector====
<div class="mw-collapsible-content">
*[[Lorentz Force]]
*[[Combining Electric and Magnetic Forces]]
</div>
</div>

===Week 10===

====Student Content====

<div class=“toccolours mw-collapsible mw-collapsed”>
==== Hall Effect ====
<div class="mw-collapsible-content">
*[[Hall Effect]]
*[[Motional Emf]]
*[[Magnetic Force]]
*[[Magnetic Torque]]

</div>
</div>

===Week 13===
<div class=“toccolours mw-collapsible mw-collapsed”>
==== Changing Field Patterns ====
<div class="mw-collapsible-content">
*[[Faraday's Law - claimed by duql1030]]

</div>
</div>

==Physics 3==

===Week 1===
<div class="toccolours mw-collapsible mw-collapsed">
====Classical Physics====
<div class="mw-collapsible-content">
</div>
</div>

===Week 2===
<div class="toccolours mw-collapsible mw-collapsed">
====Special Relativity====
<div class="mw-collapsible-content">
*[[Frame of Reference]]
*[[Einstein's Theory of Special Relativity]]
*[[Time Dilation]]
*[[Einstein's Theory of General Relativity]]
*[[Albert A. Micheleson & Edward W. Morley]]
*[[Magnetic Force in a Moving Reference Frame]]
</div>
</div>

===Week 3===
<div class="toccolours mw-collapsible mw-collapsed">
====Photons====
<div class="mw-collapsible-content">
*[[Spontaneous Photon Emission]]
*[[Light Scattering: Why is the Sky Blue]]
*[[Lasers]]
*[[Electronic Energy Levels and Photons]]
*[[Quantum Properties of Light]]
</div>
</div>

===Week 4===
<div class="toccolours mw-collapsible mw-collapsed">
====Matter Waves====
<div class="mw-collapsible-content">
*[[Wave-Particle Duality]]
</div>
</div>

===Week 5===
<div class="toccolours mw-collapsible mw-collapsed">
====Wave Mechanics====
<div class="mw-collapsible-content">
*[[Standing Waves]]
*[[Wavelength]]
*[[Wavelength and Frequency]]
*[[Mechanical Waves]]
*[[Transverse and Longitudinal Waves]]
</div>
</div>

===Week 6===
<div class="toccolours mw-collapsible mw-collapsed">
====Rutherford-Bohr Model====
<div class="mw-collapsible-content">
*[[Rutherford Experiment and Atomic Collisions]]
*[[Bohr Model]]
*[[Quantized energy levels]]
*[[Energy graphs and the Bohr model]]
</div>
</div>

===Week 7===
<div class="toccolours mw-collapsible mw-collapsed">
====The Hydrogen Atom====
<div class="mw-collapsible-content">
*[[Quantum Theory]]
*[[Atomic Theory]]
</div>
</div>

===Week 8===
<div class="toccolours mw-collapsible mw-collapsed">
====Many-Electron Atoms====
<div class="mw-collapsible-content">
*[[Quantum Theory]]
*[[Atomic Theory]]
*[[Pauli exclusion principle]]
</div>
</div>

===Week 9===
<div class="toccolours mw-collapsible mw-collapsed">
====Molecules====
<div class="mw-collapsible-content">
</div>
</div>

===Week 10===
<div class="toccolours mw-collapsible mw-collapsed">
====Statistical Physics====
<div class="mw-collapsible-content">
</div>
</div>

===Week 11===
<div class="toccolours mw-collapsible mw-collapsed">
====Condensed Matter Physics====
<div class="mw-collapsible-content">
</div>
</div>

===Week 12===
<div class="toccolours mw-collapsible mw-collapsed">
====The Nucleus====
<div class="mw-collapsible-content">
</div>
</div>

===Week 13===
<div class="toccolours mw-collapsible mw-collapsed">
====Nuclear Physics====
<div class="mw-collapsible-content">
*[[Nuclear Fission]]
*[[Nuclear Energy from Fission and Fusion]]
</div>
</div>

===Week 14===
<div class="toccolours mw-collapsible mw-collapsed">
====Particle Physics====
<div class="mw-collapsible-content">
*[[Elementary Particles and Particle Physics Theory]]
*[[String Theory]]
</div>
</div>

Main Page

2016-04-18T00:06:51Z

Jpatel315: /* Potential energy */ - CLAIMED BY JANKI PATEL

__NOTOC__
Welcome to the Georgia Tech Wiki for Introductory Physics. This resource was created so that students can contribute and curate content to help those with limited or no access to a textbook. When reading this website, please correct any errors you may come across. If you read something that isn't clear, please consider revising it for future students!

Looking to make a contribution?
#Pick one of the topics from intro physics listed below
#Add content to that topic or improve the quality of what is already there.
#Need to make a new topic? Edit this page and add it to the list under the appropriate category. Then copy and paste the default [[Template]] into your new page and start editing.

Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations. Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.

== Source Material ==
All of the content added to this resource must be in the public domain or similar free resource. If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web. Here is an incomplete list of intro physics resources (please update as needed).
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]
* A wiki written for students by a physics expert [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes MSU Physics Wiki]
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]

== Organizing Categories ==
These are the broad, overarching categories, that we cover in three semester of introductory physics. You can add subcategories as needed but a single topic should direct readers to a page in one of these categories.

== Resources ==
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]
* A page to keep track of all the physics [[Constants]]
* A page for review of [[Vectors]] and vector operations
* A listing of [[Notable Scientist]] with links to their individual pages

<div style="float:left; width:30%; padding:1%;">
==Physics 1==
===Week 1===

====Student Content====
<div class=“toccolours mw-collapsible mw-collapsed”>
=====Help with VPython=====
<div class=“mw-collapsible-content”>
*[[VPython]]
*[[VPython basics]]
*[[VPython Common Errors and Troubleshooting]]
*[[VPython Functions]]
*[[VPython Lists]]
*[[VPython Loops]]
*[[VPython Multithreading]]
*[[VPython Animation]]
*[[VPython Objects]]
*[[VPython 3D Objects]]
*[[VPython Reference]]
*[[VPython MapReduceFilter]]
*[[VPython GUIs]]
</div>
</div>

<div class=“toccolours mw-collapsible mw-collapsed”>
=====Vectors and Units=====
<div class=“mw-collapsible-content”>
*[[Vectors]]
*[[SI units]]
</div>
</div>

<div class=“toccolours mw-collapsible mw-collapsed”>

=====Interactions=====
<div class=“mw-collapsible-content”>
</div>
</div>
*[[Types of Interactions and How to Detect Them]]

<div class=“toccolours mw-collapsible mw-collapsed”>

=====Velocity and Momentum=====
<div class=“mw-collapsible-content”>
*[[Newton’s First Law of Motion]]
*[[Velocity]]
*[[Mass]]
*[[Speed and Velocity]]
*[[Relative Velocity]]
*[[Derivation of Average Velocity]]
*[[2-Dimensional Motion]]
*[[3-Dimensional Position and Motion]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:vpython_resources Software for Projects]

</div>

===Week 2===
====Student Content====
<div class=“toccolours mw-collapsible mw-collapsed”>
=====Momentum and the Momentum Principle=====
<div class=“mw-collapsible-content”>
*[[Momentum Principle]]
*[[Inertia]]
*[[Net Force]]
*[[Derivation of the Momentum Principle]]
*[[Impulse Momentum]]
*[[Acceleration]]
*[[Momentum with respect to external Forces]]
</div>
</div>

<div class=“toccolours mw-collapsible mw-collapsed”>
=====Iterative Prediction with a Constant Force=====
<div class=“mw-collapsible-content”>
*[[Newton’s Second Law of Motion]]
*[[Iterative Prediction]]
*[[Kinematics]]
*[[Newton’s Laws and Linear Momentum]]
*[[Projectile Motion]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:scalars_and_vectors Scalars and Vectors]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:displacement_and_velocity Displacement and Velocity]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:modeling_with_vpython Modeling Motion with VPython]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:relative_motion Relative Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:graphing_motion Graphing Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:momentum Momentum]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:momentum_principle The Momentum Principle]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:acceleration Acceleration & The Change in Momentum]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:motionPredict Applying the Momentum Principle]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:constantF Constant Force Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:iterativePredict Iterative Prediction of Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:mp_multi The Momentum Principle in Multi-particle Systems]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:angular_motivation Why Angular Momentum?]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:ang_momentum Angular Momentum]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_principle Net Torque & The Angular Momentum Principle]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_conservation Angular Momentum Conservation]

</div>

===Week 3===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Analytic Prediction with a Constant Force=====
<div \
class=“mw-collapsible-content”>
*[[Analytical Prediction]]
</div>
</div>

<div class=“toccolours mw-collapsible mw-collapsed”>
=====Iterative Prediction with a Varying Force=====
<div \
class=“mw-collapsible-content”>
*[[Predicting Change in multiple dimensions]]
*[[Spring Force]]
*[[Hooke’s Law]]
*[[Simple Harmonic Motion]]
*[[Iterative Prediction of Spring-Mass System]]
*[[Terminal Speed]]
*[[Determinism]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:drag Drag]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:gravitation Non-constant Force: Newtonian Gravitation]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:ucm Uniform Circular Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:impulseGraphs Impulse Graphs]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:springMotion Non-constant Force: Springs & Spring-like Interactions]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:friction Contact Interactions: The Normal Force & Friction]

</div>

===Week 4===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Fundamental Interactions=====
<div class=“mw-collapsible-content”>
*[[Gravitational Force]]
*[[Electric Force]]
*[[Reciprocity]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:gravitation Non-constant Force: Newtonian Gravitation]

</div>

===Week 5===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Conservation of Momentum=====
<div class=“mw-collapsible-content”>
*[[Conservation of Momentum]]
</div>
</div>
<div class=“toccolours mw-collapsible mw-collapsed”>

=====Properties of Matter=====
<div class=“mw-collapsible-content”>
*[[Kinds of Matter]]
**[[Ball and Spring Model of Matter]]
*[[Density]]
*[[Length and Stiffness of an Interatomic Bond]]
*[[Young’s Modulus]]
*[[Speed of Sound in Solids]]
*[[Malleability]]
*[[Ductility]]
*[[Weight]]
*[[Hardness]]
*[[Boiling Point]]
*[[Melting Point]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:model_of_a_wire Modeling a Solid Wire: springs in series and parallel]

</div>

===Week 6===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Identifying Forces=====
<div class=“mw-collapsible-content”>
*[[Free Body Diagram]]
*[[Compression or Normal Force]]
*[[Tension]]
</div>
</div>
<div class=“toccolours mw-collapsible mw-collapsed”>
=====Curving Motion=====
<div class=“mw-collapsible-content”>
*[[Curving Motion]]
*[[Centripetal Force and Curving Motion]]
*[[Perpetual Freefall (Orbit)]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:gravitation Non-constant Force: Newtonian Gravitation]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_accel Gravitational Acceleration]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:ucm Uniform Circular Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:freebodydiagrams Free Body Diagrams]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:curving_motion Curved Motion]

</div>

===Week 7===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Energy Principle=====
<div class=“mw-collapsible-content”>
*[[The Energy Principle]]
*[[Conservation of Energy]]
*[[Kinetic Energy]]
*[[Work]]
*[[Power (Mechanical)]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:define_energy What is Energy?]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:point_particle The Simplest System: A Single Particle]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:work Work: Mechanical Energy Transfer]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_cons Conservation of Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:potential_energy Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_and_spring_PE (Near Earth) Gravitational and Spring Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:force_and_PE Force and Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:newton_grav_pe Newtonian Gravitational Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:spring_PE Spring Potential Energy]

</div>

===Week 8===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Work by Non-Constant Forces=====
<div \
class=“mw-collapsible-content”>
*[[Work Done By A Nonconstant Force]]
</div>
</div>
<div class=“toccolours mw-collapsible mw-collapsed”>
=====Potential Energy=====
<div class=“mw-collapsible-content”>
*[[Potential Energy]]
*[[Potential Energy of Macroscopic Springs]]
*[[Spring Potential Energy]]
**[[Ball and Spring Model]]
*[[Gravitational Potential Energy]]
*[[Energy Graphs]]
*[[Escape Velocity]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:work_by_nc_forces Work Done by Non-Constant Forces]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:potential_energy Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_and_spring_PE (Near Earth) Gravitational and Spring Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:rest_mass Changes of Rest Mass Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:force_and_PE Force and Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:newton_grav_pe Newtonian Gravitational Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_pe_graphs Graphing Energy for Gravitationally Interacting Systems]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:spring_PE Spring Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:power Power: The Rate of Energy Change]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_dissipation Dissipation of Energy]

</div>

===Week 9===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Multiparticle Systems=====
<div class=“mw-collapsible-content”>
*[[Center of Mass]]
*[[Multi-particle analysis of Momentum]]
*[[Momentum with respect to external Forces]]
*[[Potential Energy of a Multiparticle System]]
*[[Work and Energy for an Extended System]]
*[[Internal Energy]]
**[[Potential Energy of a Pair of Neutral Atoms]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:mp_multi The Momentum Principle in Multi-particle Systems]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:center_of_mass Center of Mass Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:center_of_mass Center of Mass Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_sep Separating Energy in Multi-Particle Systems]

</div>

===Week 10===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Choice of System=====
<div class=“mw-collapsible-content”>
*[[System & Surroundings]]
</div>
</div>
<div class=“toccolours mw-collapsible mw-collapsed”>
=====Thermal Energy, Dissipation and Transfer of Energy=====
<div \
class=“mw-collapsible-content”>
*[[Thermal Energy]]
*[[Specific Heat]]
*[[Heat Capacity]]
*[[Specific Heat Capacity]]
*[[First Law of Thermodynamics]]
*[[Second Law of Thermodynamics and Entropy]]
*[[Temperature]]
*[[Predicting Change]]
*[[Energy Transfer due to a Temperature Difference]]
*[[Transformation of Energy]]
*[[The Maxwell-Boltzmann Distribution]]
*[[Air Resistance]]
</div>
</div>
<div class=“toccolours mw-collapsible mw-collapsed”>
=====Rotational and Vibrational Energy=====
<div \
class=“mw-collapsible-content”>
*[[Translational, Rotational and Vibrational Energy]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_and_spring_PE (Near Earth) Gravitational and Spring Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:rest_mass Changes of Rest Mass Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:newton_grav_pe Newtonian Gravitational Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_pe_graphs Graphing Energy for Gravitationally Interacting Systems]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:escape_speed Escape Speed]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:spring_PE Spring Potential Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:internal_energy Internal Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:system_choice Choosing a System Matters]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_dissipation Dissipation of Energy]

</div>

===Week 11===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Different Models of a System=====
<div \
class=“mw-collapsible-content”>
*[[Point Particle Systems]]
*[[Real Systems]]
</div>
</div>
<div class=“toccolours mw-collapsible mw-collapsed”>

=====Models of Friction=====
<div class=“mw-collapsible-content”>
*[[Friction]]
*[[Static Friction]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:system_choice Choosing a System Matters]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_dissipation Dissipation of Energy]

</div>

===Week 12===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Collisions=====
<div class=“mw-collapsible-content”>
*[[Newton’s Third Law of Motion]]
*[[Collisions]]
*[[Elastic Collisions]]
*[[Inelastic Collisions]]
*[[Maximally Inelastic Collision]]
*[[Head-on Collision of Equal Masses]]
*[[Head-on Collision of Unequal Masses]]
*[[Scattering: Collisions in 2D and 3D]]
*[[Rutherford Experiment and Atomic Collisions]]
*[[Coefficient of Restitution]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:collisions Colliding Objects]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:center_of_mass Center of Mass Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:center_of_mass Center of Mass Motion]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:rot_KE Rotational Kinetic Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:pp_vs_real Point Particle and Real Systems]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:colliding_systems Collisions]

</div>

===Week 13===
====Student Content====
<div class=“toccolours \
mw-collapsible mw-collapsed”>
=====Rotations=====
<div class=“mw-collapsible-content”>
*[[Rotation]]
*[[Angular Velocity]]
*[[Eulerian Angles]]
</div>
</div>
<div class=“toccolours mw-collapsible mw-collapsed”>
=====Angular Momentum=====
<div class=“mw-collapsible-content”>
*[[Total Angular Momentum]]
*[[Translational Angular Momentum]]
*[[Rotational Angular Momentum]]
*[[The Angular Momentum Principle]]
*[[Angular Momentum Compared to Linear Momentum]]
*[[Angular Impulse]]
*[[Predicting the Position of a Rotating System]]
*[[Angular Momentum of Multiparticle Systems]]
*[[The Moments of Inertia]]
*[[Moment of Inertia for a cylinder]]
*[[Right Hand Rule]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:rot_KE Rotational Kinetic Energy]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:angular_motivation Why Angular Momentum?]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:ang_momentum Angular Momentum]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_principle Net Torque & The Angular Momentum Principle]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_conservation Angular Momentum Conservation]

</div>
===Week 14===

====Student Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>
=====Analyzing Motion with and without Torque=====
<div \
class=“mw-collapsible-content”>
*[[Torque]]
*[[Torque 2]]
*[[Systems with Zero Torque]]
*[[Systems with Nonzero Torque]]
*[[Torque vs Work]]
*[[Gyroscopes]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:discovery_of_the_nucleus Discovery of the Nucleus]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:torque Torques Cause Changes in Rotation]
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_principle Net Torque & The Angular Momentum Principle]

</div>

===Week 15===

====Student Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>
=====Introduction to Quantum Concepts=====
<div \class=“mw-collapsible-content”>
*[[Bohr Model]]
*[[Energy graphs and the Bohr model]]
*[[Quantized energy levels]]
</div>
</div>

====Expert Content====
<div class=“toccolours mw-collapsible \
mw-collapsed”>

* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:discovery_of_the_nucleus Discovery of the Nucleus]

</div>

<div style=“float:left; width:30%; padding:1%;”>

==Physics 2==
===Week 1===
<div class="toccolours mw-collapsible mw-collapsed">
====3D Vectors====
<div class="mw-collapsible-content">
*[[Vectors]]
*[[Right-Hand Rule]]
*[[Right Hand Rule]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

<div class="mw-collapsible-content">
*[[Electric field]]
</div>
'''CLAIMED BY DIPRO CHAKRABORTY'''

<div class="toccolours mw-collapsible mw-collapsed">

====Electric force====
<div class="mw-collapsible-content">

*[[Electric Force]] Claimed by Amarachi Eze
*[[Lorentz Force]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Electric field of a point particle====

<div class="mw-collapsible-content">
*[[Point Charge]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

'''Bold text'''====Superposition====
<div class="mw-collapsible-content">
*[[Superposition Principle]]
*[[Superposition principle]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Dipoles====
<div class="mw-collapsible-content">
*[[Electric Dipole]]
*[[Magnetic Dipole]]
</div>
</div>

===Week 2===
<div class="toccolours mw-collapsible mw-collapsed">
====Interactions of charged objects====
<div class="mw-collapsible-content">
*[[Electric Field]]
*[[Electric Potential]]
*[[Electric Force]]
*[[Lorentz Force]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Tape experiments====
<div class="mw-collapsible-content">
*[[Polarization]]
*[[Electric Polarization]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Polarization====
<div class="mw-collapsible-content">
*[[Polarization]]
*[[Electric Polarization]]
*[[Polarization of an Atom]]
</div>
</div>

===Week 3===
<div class="toccolours mw-collapsible mw-collapsed">
====Insulators====
<div class="mw-collapsible-content">
*[[Insulators]]
*[[Potential Difference in an Insulator]]
*[[Charged Conductor and Charged Insulator]]
*[[Charged conductor and charged insulator]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Conductors====
<div class="mw-collapsible-content">
*[[Conductivity]]
*[[Charge Transfer]]
*[[Resistivity]]
*[[Polarization of a conductor]]
*[[Charged Conductor and Charged Insulator]]
*[[Charged conductor and charged insulator]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Charging and discharging====
<div class="mw-collapsible-content">
*[[Charge Transfer]]
*[[Electrostatic Discharge]]
*[[Charged Conductor and Charged Insulator]]
*[[Charged conductor and charged insulator]]
</div>
</div>

===Week 4===
<div class="toccolours mw-collapsible mw-collapsed">
====Field of a charged rod====
<div class="mw-collapsible-content">
*[[Charged Rod]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Field of a charged ring/disk/capacitor====
<div class="mw-collapsible-content">
*[[Charged Ring]]
*[[Charged Disk]]
*[[Charged Capacitor]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Field of a charged sphere====
<div class="mw-collapsible-content">
*[[Charged Spherical Shell]]
*[[Field of a Charged Ball]]
</div>
</div>

===Week 5===
<div class="toccolours mw-collapsible mw-collapsed">
====Potential energy====
<div class="mw-collapsible-content">
*[[Potential Energy]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Electric potential====
<div class="mw-collapsible-content">
*[[Electric Potential]]
*[[Path Independence of Electric Potential]]
*[[Potential Difference Path Independence, claimed by Aditya Mohile]]
*[[Potential Difference in a Uniform Field]]
*[[Potential Difference of Point Charge in a Non-Uniform Field]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

====Sign of Potential Difference====
<div class="mw-collapsible-content">
*[[Sign of Potential Difference]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

====Potential at a single location====
<div class="mw-collapsible-content">
*[[Electric Potential]]
*[[Potential Difference at One Location]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Path independence and round trip potential====
<div class="mw-collapsible-content">
*[[Path Independence of Electric Potential]]
*[[Potential Difference Path Independence, claimed by Aditya Mohile]]
</div>
</div>

===Week 6===
<div class="toccolours mw-collapsible mw-collapsed">
====Electric field and potential in an insulator====
<div class="mw-collapsible-content">
*[[Potential Difference in an Insulator]]
*[[Electric Field in an Insulator]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

====Moving charges in a magnetic field====
<div class="mw-collapsible-content">
*[[Magnetic Field]]
*[[Magnetic Force]]
*[[Lorentz Force]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

====Biot-Savart Law====
<div class="mw-collapsible-content">
*[[Biot-Savart Law]]
*[[Biot-Savart Law for Currents]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

====Moving charges, electron current, and conventional current====
<div class="mw-collapsible-content">
*[[Moving Point Charge]]
*[[Current]]
</div>
</div>

===Week 7===
<div class="toccolours mw-collapsible mw-collapsed">

====Magnetic field of a wire====
<div class="mw-collapsible-content">
*[[Magnetic Field of a Long Straight Wire]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Magnetic field of a current-carrying loop====
<div class="mw-collapsible-content">
*[[Magnetic Field of a Loop]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Magnetic dipoles====
<div class="mw-collapsible-content">
*[[Magnetic Dipole Moment]]
*[[Bar Magnet]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Atomic structure of magnets====
<div class="mw-collapsible-content">
*[[Atomic Structure of Magnets]]
</div>
</div>

===Week 8===
<div class="toccolours mw-collapsible mw-collapsed">
====Steady state current====
<div class="mw-collapsible-content">
*[[Steady State]]
*[[Non Steady State]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Node rule====
<div class="mw-collapsible-content">
*[[Node Rule]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Electric fields and energy in circuits====
<div class="mw-collapsible-content">
*[[Series circuit]]
*[[Node Rule]]
*[[Loop Rule]]
*[[Electric Potential Difference]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Macroscopic analysis of circuits====
<div class="mw-collapsible-content">
*[[Series Circuits]]
*[[Parallel CIrcuits]]
*[[Parallel Circuits vs. Series Circuits*]]
*[[Loop Rule]]
*[[Node Rule]]
*[[Fundamentals of Resistance]]
</div>
</div>

===Week 9===
<div class="toccolours mw-collapsible mw-collapsed">
====Electric field and potential in circuits with capacitors====
<div class="mw-collapsible-content">
*[[Charging and Discharging a Capacitor]]
*[[RC Circuit]] *CLAIMED BY MARK RUSSELL SPRING 2016
*[[R Circuit]]
*[[AC and DC]]

</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

====Magnetic forces on charges and currents====
<div class="mw-collapsible-content">
*[[Magnetic Force]]
*[[Lorentz Force]]
*[[Applying Magnetic Force to Currents]]
*[[Magnetic Force in a Moving Reference Frame]]
*[[Right-Hand Rule]]
*[[Analysis of Railgun vs Coil gun technologies]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Electric and magnetic forces====
<div class="mw-collapsible-content">
*[[Electric Force]]
*[[Magnetic Force]]
*[[Lorentz Force]]
*[[VPython Modelling of Electric and Magnetic Forces]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
====Velocity selector====
<div class="mw-collapsible-content">
*[[Lorentz Force]]
*[[Combining Electric and Magnetic Forces]]
</div>
</div>

===Week 10===

====Student Content====

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==== Hall Effect ====
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*[[Hall Effect]]
*[[Motional Emf]]
*[[Magnetic Force]]
*[[Magnetic Torque]]

</div>
</div>

===Week 13===
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==== Changing Field Patterns ====
<div class="mw-collapsible-content">
*[[Faraday's Law - claimed by duql1030]]

</div>
</div>

==Physics 3==

===Week 1===
<div class="toccolours mw-collapsible mw-collapsed">
====Classical Physics====
<div class="mw-collapsible-content">
</div>
</div>

===Week 2===
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====Special Relativity====
<div class="mw-collapsible-content">
*[[Frame of Reference]]
*[[Einstein's Theory of Special Relativity]]
*[[Time Dilation]]
*[[Einstein's Theory of General Relativity]]
*[[Albert A. Micheleson & Edward W. Morley]]
*[[Magnetic Force in a Moving Reference Frame]]
</div>
</div>

===Week 3===
<div class="toccolours mw-collapsible mw-collapsed">
====Photons====
<div class="mw-collapsible-content">
*[[Spontaneous Photon Emission]]
*[[Light Scattering: Why is the Sky Blue]]
*[[Lasers]]
*[[Electronic Energy Levels and Photons]]
*[[Quantum Properties of Light]]
</div>
</div>

===Week 4===
<div class="toccolours mw-collapsible mw-collapsed">
====Matter Waves====
<div class="mw-collapsible-content">
*[[Wave-Particle Duality]]
</div>
</div>

===Week 5===
<div class="toccolours mw-collapsible mw-collapsed">
====Wave Mechanics====
<div class="mw-collapsible-content">
*[[Standing Waves]]
*[[Wavelength]]
*[[Wavelength and Frequency]]
*[[Mechanical Waves]]
*[[Transverse and Longitudinal Waves]]
</div>
</div>

===Week 6===
<div class="toccolours mw-collapsible mw-collapsed">
====Rutherford-Bohr Model====
<div class="mw-collapsible-content">
*[[Rutherford Experiment and Atomic Collisions]]
*[[Bohr Model]]
*[[Quantized energy levels]]
*[[Energy graphs and the Bohr model]]
</div>
</div>

===Week 7===
<div class="toccolours mw-collapsible mw-collapsed">
====The Hydrogen Atom====
<div class="mw-collapsible-content">
*[[Quantum Theory]]
*[[Atomic Theory]]
</div>
</div>

===Week 8===
<div class="toccolours mw-collapsible mw-collapsed">
====Many-Electron Atoms====
<div class="mw-collapsible-content">
*[[Quantum Theory]]
*[[Atomic Theory]]
*[[Pauli exclusion principle]]
</div>
</div>

===Week 9===
<div class="toccolours mw-collapsible mw-collapsed">
====Molecules====
<div class="mw-collapsible-content">
</div>
</div>

===Week 10===
<div class="toccolours mw-collapsible mw-collapsed">
====Statistical Physics====
<div class="mw-collapsible-content">
</div>
</div>

===Week 11===
<div class="toccolours mw-collapsible mw-collapsed">
====Condensed Matter Physics====
<div class="mw-collapsible-content">
</div>
</div>

===Week 12===
<div class="toccolours mw-collapsible mw-collapsed">
====The Nucleus====
<div class="mw-collapsible-content">
</div>
</div>

===Week 13===
<div class="toccolours mw-collapsible mw-collapsed">
====Nuclear Physics====
<div class="mw-collapsible-content">
*[[Nuclear Fission]]
*[[Nuclear Energy from Fission and Fusion]]
</div>
</div>

===Week 14===
<div class="toccolours mw-collapsible mw-collapsed">
====Particle Physics====
<div class="mw-collapsible-content">
*[[Elementary Particles and Particle Physics Theory]]
*[[String Theory]]
</div>
</div>