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Energy is the conserved quantity associated to time-translation invariance and represents the work a system is capable of doing. Use this tag for questions about energy, and consider adding the [energy-conservation] tag if it is specifically about its conservation.
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Is energy always a constant when the momentum is constant? [duplicate]
How is it that when momentum is constant, energy always stays a constant.
For Example :-
if $P = 0$ kinetic energy will also be 0. … By using $E_k=\frac{P^2}{2m}$ energy also return as 0 Jules.
If the $E_k=\frac{mV^2}{2}$ is used the kinetic energy comes as $E_k>0$ since kinetic energy is a scalar.
How is that? …