Conservative force - Revision history

FredericBernard: Changed category to Mechanics

2017-04-06T13:58:17Z

Changed category to Mechanics

2017-04-05T14:10:54Z

Changed list from numbers to bullet points

2016-12-13T21:00:59Z

2016-07-13T06:47:54Z

top: clean up & uniformity

2016-07-11T13:40:48Z

References: Spelling, Grammar, and General Cleanup

2012-04-09T00:09:42Z

2008-04-09T00:34:31Z

capitalization

2008-04-09T00:34:10Z

2008-04-09T00:29:33Z

2007-10-31T03:28:09Z

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 '''Conservative [[force]]s''' are those that possess certain properties:<ref>Serway and Beichner, ''Physics for Scientists and Engineers'', Fifth Edition</ref>
-# The [[work]] it does on a particle is independent of its [[trajectory]].
+* The [[work]] it does on a particle is independent of its [[trajectory]].
+* The work done on a particle that moves along a closed trajectory (where the initial and final positions are the same, or d<sub>i</sub> = d<sub>f</sub>) = 0) is zero.
-# The work done on a particle that moves along a closed trajectory (where the initial and final positions are the same, or d<sub>i</sub> = d<sub>f</sub>) = 0) is zero.
+* The force can be written as the negative of the gradient of a potential energy function, i.e. <math>\vec F = - \nabla U </math>.
+* The [[curl]] of the force, <math>\vec{F}</math> is zero, <math>\nabla \times \vec{F} = 0</math>
 When the only forces present in a system are conservative, [[energy]] is conserved.

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 '''Conservative [[force]]s''' are those that possess certain properties:<ref>Serway and Beichner, ''Physics for Scientists and Engineers'', Fifth Edition</ref>
-. The [[work]] it does on a particle is independent of its [[trajectory]].
+# The [[work]] it does on a particle is independent of its [[trajectory]].
-. The work done on a particle that moves along a closed trajectory (where the initial and final positions are the same, or d<sub>i</sub> = d<sub>f</sub>) = 0) is zero.
+# The work done on a particle that moves along a closed trajectory (where the initial and final positions are the same, or d<sub>i</sub> = d<sub>f</sub>) = 0) is zero.
-.  The force can be written as the negative of the gradient of a potential energy function, i.e. <math>\vec F = - \nabla U </math>.
+# The force can be written as the negative of the gradient of a potential energy function, i.e. <math>\vec F = - \nabla U </math>.
-When the only forces present in a system are conservative, [[mechanical energy]] is conserved.
+# The [[curl]] of the force, <math>\vec{F}</math> is zero, <math>\nabla \times \vec{F} = 0</math>
-Examples of conservative forces:
+When the only forces present in a system are conservative, [[energy]] is conserved.
 * [[Gravitational force]]
-* [[Hooke's Law|force performed by a spring]]
+* [[Hooke's Law|Force performed by a spring]]
-*[[friction]]
+[[Friction]] is an example of a non-conservative force:
 == References ==

← Older revision		Revision as of 06:47, July 13, 2016
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−	'''Conservative [[force]]s''' are those that possess certain properties<ref>Serway and Beichner, ''Physics for Scientists and Engineers'', Fifth Edition</ref>:	+	'''Conservative [[force]]s''' are those that possess certain properties:<ref>Serway and Beichner, ''Physics for Scientists and Engineers'', Fifth Edition</ref>

	1. The [[work]] it does on a particle is independent of its [[trajectory]].		1. The [[work]] it does on a particle is independent of its [[trajectory]].

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 {{reflist}}
-[[Category: Physics]]
+[[Category:Physics]]
-[[Category: Mechanics]]
+[[Category:Mechanics]]

← Older revision	Revision as of 00:34, April 9, 2008
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