In order to pick up a split in bowling you determine you need to hit one of the pins and force it to move off at a 70 degree angle from the direction of the incoming ball. The ball’s mass is five times that of the pin and is moving at 12.0 m/s when it strikes the pin. If we can assume the collision is perfectly elastic, find the final speed of the ball and the pin and the angle at which the ball ends up moving.