2) If you strike a pool ball with just the right amount of back spin, it will come to a perfect stop. (a) What is the appropriate relationship between the initial velocity, vi, and the initial angular velocity, w, for this to happen? Hint: use conservation of angular momentum. (b) What distance does the ball travel given an initial speed of v; = 2 m/s and a coefficient of friction of k = 0.2? Hint: the work done by friction is equal to the change in kinetic energy.