In order to convert a tough split in bowling, it is necessary to strike the pin a glancing blow as shown in Fig. 9-47. The bowling ball, initially traveling at 13.0 m/s, has four times the mass of a pin and the pin flies off at 80° from the original direction of the ball. Assume the collision is elastic and ignore any spin of the ball.
(a) Calculate the speed of the pin just after collision.
(b) Calculate the speed of the ball just after collision.
(c) Calculate the angle through which the ball was deflected.