Difference between revisions of "Conservative force"
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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]]. | ||
Revision as of 06:47, July 13, 2016
Conservative forces are those that possess certain properties:[1]
1. The work it does on a particle is independent of its trajectory.
2. The work done on a particle that moves along a closed trajectory (where the initial and final positions are the same, or di = df) = 0) is zero.
3. The force can be written as the negative of the gradient of a potential energy function, i.e.
.
When the only forces present in a system are conservative, mechanical energy is conserved.
Examples of conservative forces:
Example of a non-conservative force:
References
- ↑ Serway and Beichner, Physics for Scientists and Engineers, Fifth Edition