A base ball has mass 0.145 kg.
(a) If the velocity of a pitched ball has a magnitude of 45.0 m/s and the batted ball's velocity is 55.0 m/s in the opposite direction, find the magnitude of the change in momentum of the ball and of the impulse applied to it by the bat.
(b) If the ball remains in contact with the bat for 2.00 ms, find the magnitude of the average foce applied by the bat.