Little Willie, feeling real cool,
Thought he would play a little pool.
Alas, his luck was very cruel;
He lost the game, felt such a fool!
~A.A.
One of Willie’s worst shots is shown at right.
He sends his white cue ball with velocity v so that it strikes a coloured ball at rest. To his dismay, both balls end up in different pockets, as shown! Using the given geometry, calculate the fraction of kinetic energy lost in the collision. Treat the balls as identical point masses and neglect any friction or rotational motion.
(a) 0
(b) 1/7
(c) 1/5
(d) 7/32
(e) 4/9
