Timeline for What assumptions would I have to make to rigorously prove power equals force dotted with velocity, $P=\mathbf{F}\cdot\mathbf{v}$?
Current License: CC BY-SA 3.0
8 events
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| Mar 3, 2018 at 18:52 | history | edited | Qmechanic♦ |
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| Dec 22, 2017 at 1:52 | history | edited | knzhou | CC BY-SA 3.0 |
added 44 characters in body; edited title
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| Oct 20, 2017 at 15:11 | comment | added | Zo the Relativist | per khnzhou's answer below, the only real assumption made is that each component of ${\vec r}$ is a piecewise invertible function of $t$. Then, the whole thing is just a change of variables from $r$ to $t$. | |
| Oct 20, 2017 at 14:06 | comment | added | Phoenix87 | en.wikipedia.org/wiki/… | |
| Oct 20, 2017 at 13:27 | answer | added | knzhou | timeline score: 5 | |
| Oct 20, 2017 at 12:55 | comment | added | gen-ℤ ready to perish | @levitopher Maybe “does not explicitly express” is better than “ignores” | |
| Oct 20, 2017 at 12:53 | comment | added | levitopher | In what way do you think this approach ignores time-dependent forces? How would the basic approach change if F did depend on time? I don't see where except in that step where you don't like using the total differential. | |
| Oct 20, 2017 at 12:48 | history | asked | gen-ℤ ready to perish | CC BY-SA 3.0 |