Total Energy of Body in Motion

Theorem

Let $B$ be a body in motion in space.

The total energy $E$ of $B$ is given by:

$E^2 = p^2 c^2 + {m_0}^2 c^4$

where:

$p$ is the magnitude of the linear momentum of $B$
$m_0$ is the rest mass of $B$
$c$ is the speed of light.


Proof


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Sources

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): relativistic mass
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): relativistic mass
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