Two particles with masses m1 = 1 kg and m2 = 3 kg are moving toward each other along the x axis with the same initial speeds vi = 1 m/s. They undergo an elastic, glancing collision such that the particle with mass m1 is moving downward after the collision at a right angle from its initial direction.
(a) Find the final speeds of the two particles.
(b) What is the angle at which the particle of mass m2 is scattered?