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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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$E=mc^2$ vs $(1/2)mv^2$

How does the kinetic energy $E_k = \frac{1}{2} mv^2$ equation fit with Energy equation $E = mc^2$. … This is also seen when also mixed with Gravitational Potential energy $E_p = mgh$, giving a constant to height. …
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