Savchenko Problem 14.5.14

Physics · mechanics · momentum & collisions

Problem

The mass and momentum of a state that is obtained when moving at the velocity v of a state with mass M and zero momentum are equal to

\gamma

M and

\gamma

Mv, where

\gamma = \frac{1}{\sqrt{1-\frac{v^2}{c^2}}}

. Prove this statement for a state in which two non-interacting particles move.