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basic_notions:energy [2018/04/12 16:49] bogumilvidovic [Concrete] |
basic_notions:energy [2018/04/12 16:50] bogumilvidovic [Concrete] |
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-->Proof the the total energy is conserved# | -->Proof the the total energy is conserved# | ||
- | [[equations:newtons_second_law|Newton's second law]] $F = ma$ implies | + | For a system with a conservative force the relationship between force and potential energy is given by $ |
+ | \grad V \equiv - F$. | ||
+ | |||
+ | In addition, [[equations:newtons_second_law|Newton's second law]] $F = ma$ implies | ||
\[ | \[ | ||
\begin{split} | \begin{split} |