3. This problem reminds you of the physics of elastic and inelastic collisions. and (a) Consider an elastic collision of two particles with masses m and m2 m, choose an inertial reference frame so that particle 2 is initially at rest. Show that the angle between the two outgoing velocities satisfies 0 < /2 if m > m and 0> /2 if m1 < M2. (b) A particle of mass m and speed v collides with a second particle of mass m at rest. If the collision is perfectly inelastic (the two particles lock together and move off as one) what fraction of the kinetic energy is lost in the collision? Comment on your answer for the cases m < m2 and m2 < m1.