When a Newton’s Cradle with three marbles is pulled back and released, a collision happens between the marbles causing a cycle of repeated motion. This transfer of energy will last for several cycles. List out all of the energy transfers that occur in one cycle.

In a game of pool, ball a is moving with a velocity v0 of magnitude v0 = 15 ft/s when it strikes balls b and c, which are at rest and aligned as shown. knowing that after the collision the three balls move in the directions indicated and assuming frictionless surfaces and perfectly elastic impact (that is, conservation of energy), determine the magnitudes of the velocities va, vb, and vc.