Magnitude of Relativistic Momentum

Theorem

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

The linear momentum $\mathbf p$ of $B$ has a magnitude $p$ given by:

$p = \dfrac {m_0 v} {\sqrt {1 = \dfrac {v^2} {c^2} } }$

where:

$m_0$ is the rest mass of $B$
$v$ is the speed of $v$
$c$ 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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