Particle 1 with mass m and velocity v and particle 2 with mass 2m and velocity -2v are moving toward each other along an x axis when they undergo a one-dimensional elastic collision. After the collision, what are the velocities of (a) particle 1 and (b) particle 2? What is the velocity of the center of mass of the two-particle system (c) before and (d) after the collision?

Answer

(a)(-3v) `hati` ; (b) Particle 2 of mass 2m is brought to rest ; (c) `-vhati`; (d)`-vhati`