In order to convert a tough split in bowling, it is necessary to strike the pin a glancing blow as shown in the figure. Assume that the bowling ball, initially traveling at 15.0 m/s, has eight times the mass of a pin and that the pin goes off at 75° from the original direction of the ball.
(a) Calculate the speed of the pin.
(b) Calculate the speed of the ball just after collision.
(c) Calculate the angle θ through which the ball was deflected. Assume the collision is elastic and ignore any spin of the ball.
MbVb+MpVp=MbVB+MpVP (Mb=mass of ball, Mp=mass of pin, Vp=initial velocity for pin, VP=final velocity for pin, Vb=initial velocity for ball, VB=final velocity for ball.)
The Attempt at a Solution
I have no idea how to even attempt this problem.