All Problems Relativistic Mechanics
Problem 1.359
Two particles move toward each other with velocities \(v_{1}=0.50 c\) and \(v_{2}=0.75 c\) relative to a laboratory frame of reference. Find: (a) the approach velocity of the particles in the laboratory frame of reference; (b) their relative velocity.
1.359. (a) \(v=v_{1}+v_{2}=1.25 c\) (b) \(v=\left(v_{1}+v_{2}\right) /\left(1+v_{1} v_{2} / c^{2}\right)=\) \(=0.91 c\)