Work-energy theorem - Revision history

Jmdonev at 21:26, 20 September 2023

2023-09-20T21:26:00Z

← Older revision		Revision as of 21:26, 20 September 2023
Line 2:		Line 2:
	<onlyinclude>The '''work-energy theorem''' explains the idea that the net [[work]] - the total work done by all the [[force]]s combined - done on an object is equal to the change in the [[kinetic energy]] of the object.</onlyinclude> After the net force is removed (no more work is being done) the object's total [[energy]] is altered as a result of the work that was done.		<onlyinclude>The '''work-energy theorem''' explains the idea that the net [[work]] - the total work done by all the [[force]]s combined - done on an object is equal to the change in the [[kinetic energy]] of the object.</onlyinclude> After the net force is removed (no more work is being done) the object's total [[energy]] is altered as a result of the work that was done.

	This idea is expressed in the following equation:~~<ref name=site> Richard Vawter. (October 11, 2015). ''Work Energy Theorem'' [Online]. Available: http://faculty.wwu.edu/vawter/PhysicsNet/Topics/Work/WorkEngergyTheorem.html </ref>~~		This idea is expressed in the following equation:

	<center><math>W_{net} = \Delta K = K_{f} - K_{i}</math></center>		<center><math>W_{net} = \Delta K = K_{f} - K_{i}</math></center>

Jmdonev: 1 revision imported

2018-04-14T21:17:35Z

1 revision imported

← Older revision	Revision as of 21:17, 14 April 2018
(No difference)

Jmdonev at 22:25, 11 January 2018

2018-01-11T22:25:28Z

← Older revision		Revision as of 22:25, 11 January 2018
Line 1:		Line 1:
	[[Category:Done ~~2015~~-10-15]]		[[Category:Done 2017-12-31]]
	<onlyinclude>The '''work-energy theorem''' explains the idea that the net [[work]] - the total work done by all the [[force]]s combined - done on an object is equal to the change in the [[kinetic energy]] of the object.</onlyinclude> After the net force is removed (no more work is being done) the object's total [[energy]] is altered as a result of the work that was done.		<onlyinclude>The '''work-energy theorem''' explains the idea that the net [[work]] - the total work done by all the [[force]]s combined - done on an object is equal to the change in the [[kinetic energy]] of the object.</onlyinclude> After the net force is removed (no more work is being done) the object's total [[energy]] is altered as a result of the work that was done.

	This idea is expressed in the following equation:<ref name=site> Richard Vawter. (October 11, 2015). ''Work Energy Theorem'' [Online]. Available: http://faculty.wwu.edu/vawter/PhysicsNet/Topics/Work/WorkEngergyTheorem.html </ref>		This idea is expressed in the following equation:<ref name=site> Richard Vawter. (October 11, 2015). ''Work Energy Theorem'' [Online]. Available: http://faculty.wwu.edu/vawter/PhysicsNet/Topics/Work/WorkEngergyTheorem.html </ref>

	<center><m>W_{net} = \Delta K = K_{f} - K_{i}</m></center>		<center><math>W_{net} = \Delta K = K_{f} - K_{i}</math></center>

	*<m>W</m> is the total work done		*<math>W</math> is the total work done
	*<m>\Delta K</m> is the change in kinetic energy		*<math>\Delta K</math> is the change in kinetic energy
	*<m>K_{f}</m> is the final kinetic energy		*<math>K_{f}</math> is the final kinetic energy
	*<m>K_{i}</m> is the initial kinetic energy		*<math>K_{i}</math> is the initial kinetic energy

	For more information on this and other concepts related to work and energy, see [http://hyperphysics.phy-astr.gsu.edu/hbase/work.html Hyperphysics].		For more information on this and other concepts related to work and energy, see [http://hyperphysics.phy-astr.gsu.edu/hbase/work.html Hyperphysics].

J.williams: 1 revision imported

2015-11-13T01:47:32Z

1 revision imported

← Older revision	Revision as of 01:47, 13 November 2015
(No difference)

Jmdonev at 21:30, 22 October 2015

2015-10-22T21:30:17Z

← Older revision		Revision as of 21:30, 22 October 2015
Line 1:		Line 1:
	[[Category:Done 2015-03-~~06]] [[category: Needs citations]] [[Category: Check Images~~]]		[[Category:Done 2015-10-15]]
	<onlyinclude>The '''work-energy theorem''' explains the idea that the net [[work]] (total work done by all the ~~forces~~ combined) done on an object is equal to the change in the [[kinetic energy]] of the object.</onlyinclude> After the net force is removed (no more work is being done) the object's total energy is altered~~. This is expressed by~~ the ~~equation:<ref name=site> http://faculty~~.~~wwu.edu/vawter/PhysicsNet/Topics/Work/WorkEngergyTheorem.html </ref>~~		<onlyinclude>The '''work-energy theorem''' explains the idea that the net [[work]] - the total work done by all the [[force]]s combined - done on an object is equal to the change in the [[kinetic energy]] of the object.</onlyinclude> After the net force is removed (no more work is being done) the object's total [[energy]] is altered as a result of the work that was done.

	<m>~~W_{net} = \Delta K = K_{f} - K_{i}~~</m>.		This idea is expressed in the following equation:<ref name=site> Richard Vawter. (October 11, 2015). ''Work Energy Theorem'' [Online]. Available: http://faculty.wwu.edu/vawter/PhysicsNet/Topics/Work/WorkEngergyTheorem.html </ref>

	*<m>~~W</m> is the total work done.~~		<center><m>W_{net} = \Delta K = K_{f} - K_{i}</m></center>
	*<m>\Delta K~~</m> is the change in kinetic energy.~~
	*<m>K_{f}~~</m> is the final kinetic energy.~~
	*<m>K_{i}</m> ~~is the initial kinetic energy.~~

	~~[[File:Work11.gif\|framed\|right\|An illustration of positive and negative work on an object. (The top example is positive work, the bottom is negative work)~~<~~ref name=site~~/> ]]

	~~==An example==~~		*<m>W</m> is the total work done
	~~Take for example a skier moving at a constant velocity on a flat frictionless surface. If his friend comes behind him and pushes him for some distance (~~in ~~other words, does work on him), then the skier will speed up (his~~ kinetic energy ~~will increase). This~~ is ~~known as '''positive work''', as~~ the ~~force was applied in the motion of the skier. If however the friend pushed opposite to the skiers motion, the skier would slow down (his~~ kinetic energy ~~would decrease), and this~~ is ~~known as '''negative work'''. (The visual to~~ the ~~right is an example of such a situation, just with the skier replaced by a block).~~		*<m>\Delta K</m> is the change in kinetic energy
			*<m>K_{f}</m> is the final kinetic energy
			*<m>K_{i}</m> is the initial kinetic energy

	Since in reality there are no frictionless surfaces, the [[friction]] force opposing the skiers motion would have to be accounted for and this is why the equation contains the term W<sub>net</sub>, as it is a ''sum'' of all the forces acting over a distance.		For more information on this and other concepts related to work and energy, see [http://hyperphysics.phy-astr.gsu.edu/hbase/work.html Hyperphysics].

			[[File:workenergy2.png\|780px\|framed\|center\|Figure 1. In the top image, positive work is done as a force is applied in the direction of movement, resulting in an increase in velocity and kinetic energy. In the bottom image, negative work is done as a force is applied against the direction of movement, resulting in a decrease in velocity and kinetic energy.<ref>''Created by a member of the Energy Education team.''</ref>]]

			==Example==
			To further understand the work-energy theorem, it can help to look at an example. Imagine a skier moving at a constant velocity on a flat, frictionless surface. If someone comes up behind him and pushes them for a distance - essentially doing work on the skier - then they will speed up as a result of their kinetic energy increasing. This type of working is known as '''positive work''' since the force was applied in the motion of the skier. If however the person pushed opposite to the skiers motion, the skier would slow down as a result of their kinetic energy decreasing. This type of work is known as '''negative work'''. The visual above shows an example of such a situation, just with the skier replaced by a block.

			Since in reality there are no frictionless surfaces, the [[friction]] force opposing the skiers motion would have to be accounted for and this is why the equation contains the term W<sub>net</sub>, as it is a ''sum'' of all the forces acting over a distance.<ref>HyperPhysics. (October 11, 2015). ''Work and Energy'' [Online]. Available: http://hyperphysics.phy-astr.gsu.edu/hbase/work.html</ref>

	==References==		==References==
	{{reflist}}		{{reflist}}
	[[Category:Uploaded]]		[[Category:Uploaded]]

J.williams: 1 revision imported

2015-08-26T21:31:49Z

1 revision imported

← Older revision	Revision as of 21:31, 26 August 2015
(No difference)

J.williams at 17:00, 12 August 2015

2015-08-12T17:00:37Z

New page

[[Category:Done 2015-03-06]] [[category: Needs citations]] [[Category: Check Images]]
<onlyinclude>The '''work-energy theorem''' explains the idea that the net [[work]] (total work done by all the forces combined) done on an object is equal to the change in the [[kinetic energy]] of the object.</onlyinclude> After the net force is removed (no more work is being done) the object's total energy is altered. This is expressed by the equation:<ref name=site> http://faculty.wwu.edu/vawter/PhysicsNet/Topics/Work/WorkEngergyTheorem.html </ref>

<m>W_{net} = \Delta K = K_{f} - K_{i}</m>.

*<m>W</m> is the total work done.
*<m>\Delta K</m> is the change in kinetic energy.
*<m>K_{f}</m> is the final kinetic energy.
*<m>K_{i}</m> is the initial kinetic energy.

[[File:Work11.gif|framed|right|An illustration of positive and negative work on an object. (The top example is positive work, the bottom is negative work)<ref name=site/> ]]

==An example==
Take for example a skier moving at a constant velocity on a flat frictionless surface. If his friend comes behind him and pushes him for some distance (in other words, does work on him), then the skier will speed up (his kinetic energy will increase). This is known as '''positive work''', as the force was applied in the motion of the skier. If however the friend pushed opposite to the skiers motion, the skier would slow down (his kinetic energy would decrease), and this is known as '''negative work'''. (The visual to the right is an example of such a situation, just with the skier replaced by a block).

Since in reality there are no frictionless surfaces, the [[friction]] force opposing the skiers motion would have to be accounted for and this is why the equation contains the term W<sub>net</sub>, as it is a ''sum'' of all the forces acting over a distance.

==References==
{{reflist}}
[[Category:Uploaded]]