Kinetic Energy - Revision history

Ilukowiecki3 at 17:43, 24 March 2020

2020-03-24T17:43:07Z

← Older revision		Revision as of 13:43, 24 March 2020
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	Does this mean that only objects with mass have energy? NO! there is an equation that helps us understand this topic, Einstein's Relativistic Mass Formula. E² = (pc)² + (mc²)². When the mass = 0, E = pc		Does this mean that only objects with mass have energy? NO! there is an equation that helps us understand this topic, Einstein's Relativistic Mass Formula. E² = (pc)² + (mc²)². When the mass = 0, E = pc
	~~[[File:restenergy.jpg]]~~

	==Mathematical Model==		==Mathematical Model==

Ilukowiecki3 at 17:42, 24 March 2020

2020-03-24T17:42:21Z

← Older revision		Revision as of 13:42, 24 March 2020
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	Does this mean that only objects with mass have energy? NO! there is an equation that helps us understand this topic, Einstein's Relativistic Mass Formula. E² = (pc)² + (mc²)². When the mass = 0, E = pc		Does this mean that only objects with mass have energy? NO! there is an equation that helps us understand this topic, Einstein's Relativistic Mass Formula. E² = (pc)² + (mc²)². When the mass = 0, E = pc
	[[File:restenergy.jpg~~\|400px\|center~~]]		[[File:restenergy.jpg]]

	==Mathematical Model==		==Mathematical Model==

Ilukowiecki3 at 17:38, 24 March 2020

2020-03-24T17:38:28Z

← Older revision		Revision as of 13:38, 24 March 2020
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	Does this mean that only objects with mass have energy? NO! there is an equation that helps us understand this topic, Einstein's Relativistic Mass Formula. E² = (pc)² + (mc²)². When the mass = 0, E = pc		Does this mean that only objects with mass have energy? NO! there is an equation that helps us understand this topic, Einstein's Relativistic Mass Formula. E² = (pc)² + (mc²)². When the mass = 0, E = pc
			[[File:restenergy.jpg\|400px\|center]]

	==Mathematical Model==		==Mathematical Model==

Ilukowiecki3 at 17:33, 24 March 2020

2020-03-24T17:33:14Z

← Older revision		Revision as of 13:33, 24 March 2020
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	==Rest Energy==		==Rest Energy==
	Rest energy can be defined as the energy of an object at rest. To find the rest energy of an object/particle, multiply the mass by its velocity squared '''(E = mv²)'''. This is the correct form of Einstein’s most famous equation, which shows that energy is related to the mass of an object at rest. For example, if energy is stored in the object, its rest mass increases. This also implies that mass can be destroyed to release energy.		Rest energy can be defined as the energy of an object at rest. To find the rest energy of an object/particle, multiply the mass by its velocity squared '''(E = mv²)'''. This is the correct form of Einstein’s most famous equation, which shows that energy is related to the mass of an object at rest. For example, if energy is stored in the object, its rest mass increases. This also implies that mass can be destroyed to release energy.
	Does this mean that only objects with mass have energy? NO! there is an equation that helps us understand this topic, Einstein's Relativistic Mass Formula.
	E² = (pc)² + (mc²)²		Does this mean that only objects with mass have energy? NO! there is an equation that helps us understand this topic, Einstein's Relativistic Mass Formula. E² = (pc)² + (mc²)². When the mass = 0, E = pc
	When the mass = 0, E = pc

	==Mathematical Model==		==Mathematical Model==

Ilukowiecki3 at 17:32, 24 March 2020

2020-03-24T17:32:36Z

← Older revision		Revision as of 13:32, 24 March 2020
Line 9:		Line 9:
	Does this mean that only objects with mass have energy? NO! there is an equation that helps us understand this topic, Einstein's Relativistic Mass Formula.		Does this mean that only objects with mass have energy? NO! there is an equation that helps us understand this topic, Einstein's Relativistic Mass Formula.
	E² = (pc)² + (mc²)²		E² = (pc)² + (mc²)²
	When the ~~mas~~ = 0, E = pc		When the mass = 0, E = pc

	==Mathematical Model==		==Mathematical Model==

Ilukowiecki3 at 17:32, 24 March 2020

2020-03-24T17:32:03Z

← Older revision		Revision as of 13:32, 24 March 2020
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	==Rest Energy==		==Rest Energy==
	Rest energy can be defined as the energy of an object at rest. To find the rest energy of an object/particle, multiply the mass by its velocity squared '''(E = mv²)'''. This is the correct form of Einstein’s most famous equation, which shows that energy is related to the mass of an object at rest. For example, if energy is stored in the object, its rest mass increases. This also implies that mass can be destroyed to release energy.		Rest energy can be defined as the energy of an object at rest. To find the rest energy of an object/particle, multiply the mass by its velocity squared '''(E = mv²)'''. This is the correct form of Einstein’s most famous equation, which shows that energy is related to the mass of an object at rest. For example, if energy is stored in the object, its rest mass increases. This also implies that mass can be destroyed to release energy.
	Does this mean that only objects with mass have energy? NO! there is an equation that helps us understand this topic.		Does this mean that only objects with mass have energy? NO! there is an equation that helps us understand this topic, Einstein's Relativistic Mass Formula.
			E² = (pc)² + (mc²)²
			When the mas = 0, E = pc

	==Mathematical Model==		==Mathematical Model==

Ilukowiecki3: /* Rest Energy */

2020-03-24T17:28:49Z

Rest Energy

← Older revision		Revision as of 13:28, 24 March 2020
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	==Rest Energy==		==Rest Energy==
	Rest energy can be defined as the energy of an object at rest. To find the rest energy of an object/particle, multiply the mass by its velocity squared '''(E = mv²)'''. This is the correct form of Einstein’s most famous equation, which shows that energy is related to the mass of an object at rest. For example, if energy is stored in the object, its rest mass increases. This also implies that mass can be destroyed to release energy.		Rest energy can be defined as the energy of an object at rest. To find the rest energy of an object/particle, multiply the mass by its velocity squared '''(E = mv²)'''. This is the correct form of Einstein’s most famous equation, which shows that energy is related to the mass of an object at rest. For example, if energy is stored in the object, its rest mass increases. This also implies that mass can be destroyed to release energy.
			Does this mean that only objects with mass have energy? NO! there is an equation that helps us understand this topic.

	==Mathematical Model==		==Mathematical Model==

Ilukowiecki3: /* References */

2020-03-24T17:21:30Z

References

← Older revision		Revision as of 13:21, 24 March 2020
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	http://www.physicsclassroom.com/class/energy/Lesson-1/Kinetic-Energy<br>		http://www.physicsclassroom.com/class/energy/Lesson-1/Kinetic-Energy<br>
	https://en.wikipedia.org/wiki/Kinetic_energy<br>		https://en.wikipedia.org/wiki/Kinetic_energy<br>
			https://courses.lumenlearning.com/physics/chapter/28-6-relativistic-energy/<br>

	[[Category:Energy]]		[[Category:Energy]]

Ilukowiecki3 at 17:19, 24 March 2020

2020-03-24T17:19:40Z

← Older revision		Revision as of 13:19, 24 March 2020
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	==Rest Energy==		==Rest Energy==
	Rest energy can be defined as the energy of an object at rest. To find the rest energy of an object/particle, multiply the mass by its velocity squared (E=mv²). This is the correct form of Einstein’s most famous equation, which shows that energy is related to the mass of an object at rest. For example, if energy is stored in the object, its rest mass increases. This also implies that mass can be destroyed to release energy.		Rest energy can be defined as the energy of an object at rest. To find the rest energy of an object/particle, multiply the mass by its velocity squared '''(E = mv²)'''. This is the correct form of Einstein’s most famous equation, which shows that energy is related to the mass of an object at rest. For example, if energy is stored in the object, its rest mass increases. This also implies that mass can be destroyed to release energy.

	==Mathematical Model==		==Mathematical Model==

Ilukowiecki3 at 17:18, 24 March 2020

2020-03-24T17:18:52Z

← Older revision		Revision as of 13:18, 24 March 2020
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	Objects in motion have energy associated with them. This energy of motion is called kinetic energy. Kinetic energy, often abbreviated as KE, is usually given in the standard S.I. units of Joules (J). KE is also given in units of kilo Joules (kJ). <math>1 kJ = 1000 J</math>. <math>1 J = 1 kg*(m²/s²)</math>. Other types of energy include [[Rest Mass Energy]] and [[Potential Energy]]. Kinetic energy is also known as the work needed to accelerate a mass from rest to a final velocity. Once the object reaches this speed, the kinetic energy remains constant unless the speed is changed.		Objects in motion have energy associated with them. This energy of motion is called kinetic energy. Kinetic energy, often abbreviated as KE, is usually given in the standard S.I. units of Joules (J). KE is also given in units of kilo Joules (kJ). <math>1 kJ = 1000 J</math>. <math>1 J = 1 kg*(m²/s²)</math>. Other types of energy include [[Rest Mass Energy]] and [[Potential Energy]]. Kinetic energy is also known as the work needed to accelerate a mass from rest to a final velocity. Once the object reaches this speed, the kinetic energy remains constant unless the speed is changed.

	Kinetic energy can take many forms, such as vibrational kinetic energy, rotational kinetic energy, and translational kinetic energy. Vibrational kinetic energy is the energy due to vibrational motion, while rotational kinetic energy is the energy due to rotational motion. Translational kinetic energy, the focus of this wiki page, is energy due to motion from place to place. More information on these three kinds of kinetic motions can be found at [[Translational, Rotational and Vibrational Energy]]. Kinetic energy does not have a direction and is a scalar value. It is not a vector quantity, but is rather a magnitude. Kinetic energy can be also be transferred into other types of energy, such as potential energy or chemical energy. In order to gain kinetic energy, a force must be applied, which causes work to be done on an object. This work causes the object to move, which is referred to as kinetic energy. The value of kinetic energy depends on the relationship between the ~~obect~~ in question and the point of observation/the related frame of reference.		Kinetic energy can take many forms, such as vibrational kinetic energy, rotational kinetic energy, and translational kinetic energy. Vibrational kinetic energy is the energy due to vibrational motion, while rotational kinetic energy is the energy due to rotational motion. Translational kinetic energy, the focus of this wiki page, is energy due to motion from place to place. More information on these three kinds of kinetic motions can be found at [[Translational, Rotational, and Vibrational Energy]]. Kinetic energy does not have a direction and is a scalar value. It is not a vector quantity but is rather a magnitude. Kinetic energy can be also be transferred into other types of energy, such as potential energy or chemical energy. In order to gain kinetic energy, a force must be applied, which causes work to be done on an object. This work causes the object to move, which is referred to as kinetic energy. The value of kinetic energy depends on the relationship between the object in question and the point of observation/the related frame of reference.

	==Rest Energy==		==Rest Energy==
	Rest energy can be defined as the energy of ~~a mass~~ at rest. To find the rest energy of an object/particle, multiply the mass by its velocity squared (E=mv²).		Rest energy can be defined as the energy of an object at rest. To find the rest energy of an object/particle, multiply the mass by its velocity squared (E=mv²). This is the correct form of Einstein’s most famous equation, which shows that energy is related to the mass of an object at rest. For example, if energy is stored in the object, its rest mass increases. This also implies that mass can be destroyed to release energy.

	==Mathematical Model==		==Mathematical Model==
	The relativistic equation for kinetic energy according to Einstein's Theory of Relativity is <math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math>. However, for cases where an object's velocity is far less than the speed of light (<math>3X10^8 m/s</math>), one can use the simplified kinetic energy formula as an approximation: <math>KE=\frac{1}{2}mv²</math>. In most cases the simplified kinetic energy formula gives a result with only minimal error. However, for near light speed calculations, such as those involving subatomic particles such as electrons, protons, or photons, the relativistic equation must be used. Usually the simplified kinetic energy formula is used to calculate the kinetic energy of an average object, and will be used in almost all cases in introductory physics.		The relativistic equation for kinetic energy according to Einstein's Theory of Relativity is <math>KE=mc²(\frac{1}{\sqrt{1-\frac{v²}{c²}}} -1)</math>. However, for cases where an object's velocity is far less than the speed of light (<math>3X10^8 m/s</math>), one can use the simplified kinetic energy formula as an approximation: <math>KE=\frac{1}{2}mv²</math>. In most cases, the simplified kinetic energy formula gives a result with only minimal error. However, for near light-speed calculations, such as those involving subatomic particles such as electrons, protons, or photons, the relativistic equation must be used. Usually, the simplified kinetic energy formula is used to calculate the kinetic energy of an average object and will be used in almost all cases in introductory physics.

	==A Computational Model==		==A Computational Model==
	By [[Conservation of Energy]], energy can be converted, but it cannot be created nor destroyed. Hence, in an isolated system, energy can continuously be converted back and forth between potential and kinetic energy without any loss. The following link is an excellent visualization of energy that can be demonstrated with ~~vpython~~. The spring will oscillate up and down constantly converting between [[Elastic Potential Energy]] and Kinetic Energy. https://trinket.io/glowscript/87a35d5778		By [[Conservation of Energy]], energy can be converted, but it cannot be created nor destroyed. Hence, in an isolated system, energy can continuously be converted back and forth between potential and kinetic energy without any loss. The following link is an excellent visualization of energy that can be demonstrated with v-python. The spring will oscillate up and down constantly converting between [[Elastic Potential Energy]] and Kinetic Energy. https://trinket.io/glowscript/87a35d5778


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	==History==		==History==

	Kinetic energy can be traced all the way back to Aristotle (384 BCE to 322 BCE) who first proposed the concept of actuality and potentiality (actuality being kinetic energy and potentiality being [[Potential Energy]]). The connection between energy and mv² was first developed in the 1600-~~1700's~~ by Gottfried Leibniz and Johann Bernoulli, ~~whom~~ described it as the "living force." William Gravesande tested this by dropping weights from different heights into a block of clay, discovering a proportionality between penetration depth and impact velocity squared. However, William Thomson is credited for devising the term "kinetic energy" in the mid ~~1800's~~.		Kinetic energy can be traced all the way back to Aristotle (384 BCE to 322 BCE) who first proposed the concept of actuality and potentiality (actuality being kinetic energy and potentiality being [[Potential Energy]]). The connection between energy and mv² was first developed in the 1600-1700s by Gottfried Leibniz and Johann Bernoulli, who described it as the "living force." William Gravesande tested this by dropping weights from different heights into a block of clay, discovering a proportionality between penetration depth and impact velocity squared. However, William Thomson is credited for devising the term "kinetic energy" in the mid-1800s.

	== See also ==		== See also ==