All Problems

Relativistic Mechanics

Problem 1.375

Find how the momentum of a particle of rest mass \(m_{0}\) depends on its kinetic energy. Calculate the momentum of a proton whose kinetic energy equals 560 MeV.

Reveal Answer
1.375. \(p=\sqrt{T\left(T+2 m_{0} c^{2}\right) / c}=1.09 \mathrm{GeV} / c,\) where \(c\) is the velocity of light.