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The law of conservation of energy, which states that the amount of energy in a system is constant. For questions about Earth's environment, see the climate-science tag instead.

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obtaining a force equation using the time derivative of energy

i saw this trick for obtaining a force equation but i don't understand why it works lets suppose our system conserves energy then $$E=U+E_{k}=const$$ $$\frac{dE}{dt}=\dot E_{k}-F=0$$ and then to obta …
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