A particle of mass M originally at rest is struck by a particle of mass m moving with speed Vi. After the collision the two particles move in opposite directions with the same speed Vf. Assuming a relativistic, elastic collision, find the ratio of the masses M/m in terms of ß = vi/c. Show that this reduces to the nonrelativistic value of 3 as Vi 0.

A particle of mass M originally at rest is struck by a particle of mass m moving with speed Vi. After the collision the two particles move in opposite directions with the same speed Vf. Assuming a relativistic, elastic collision, find the ratio of the masses M/m in terms of ß = vi/c. Show that this reduces to the nonrelativistic value of 3 as Vi 0.