All Problems

Relativistic Mechanics

Problem 1.376

A beam of relativistic particles with kinetic energy \(T\) strikes against an absorbing target. The beam current equals \(I,\) the charge and rest mass of each particle are equal to \(e\) and \(m_{0}\) respectively. Find the pressure developed by the beam on the target surface, and the power liberated there.

Reveal Answer
F=(I/ec)T(T+2m0c2),P=TI/eF=(I / e c) \sqrt{T\left(T+2 m_{0} c^{2}\right)}, P=T I / e