Mechanical Energy
Albert Einstein, 1879—1955.
Albert Einstein, 1879—1955.

Consider a particle P that is described by its rest mass $m$ and momentum $p$. And please notice that these numbers have been defined by a methodical description of sensation. Definition: the mechanical energy of P is

$E \equiv \sqrt{ c^{2}p^{2} + m^{2}c^{4} \vphantom{\sum^{2}} \ }$

where $c$ is a constant. This statement comes from Albert Einstein'sXlink.png theory of special relativity. Here are some special cases.

$E \simeq \gamma m c^{2}$

$E \left( {\large{\gamma}} \right) =2 \left| \, H_{chem}^{\mathcal{A}} \vphantom{{H_{chem}^{\large{\gamma}}}^{9}} \right|$

Right.png Next step: conservation of energy.
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