Problem 1.385

A particle of rest mass $m_{0}$ with kinetic energy $T$ strikes a stationary particle of the same rest mass. Find the rest mass and the velocity of the compound particle formed as a result of the collision.

M_{0}=\sqrt{2 m_{0}\left(T+2 m_{0} c^{2}\right) / c,} V=c \sqrt{T /\left(T+2 m_{0} c^{2}\right)}

Relativistic Mechanics