All Problems

Relativistic Mechanics

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.

Reveal Answer
M0=2m0(T+2m0c2)/c,V=cT/(T+2m0c2)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)}
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