All Problems

Relativistic Mechanics

Problem 1.348

Two particles moving in a laboratory frame of reference along the same straight line with the same velocity \(v=(3 / 4) c\) strike against a stationary target with the time interval \(\Delta t=50\) ns. Find the proper distance between the particles prior to their hitting the target.

Reveal Answer
l0=vΔt/1(v/c)2=17 ml_{0}=v \Delta t / \sqrt{1-(v / c)^{2}}=17 \mathrm{~m}