In a softball game, a 0.200 kg softball is traveling toward a batter at 12.0 m/s at an angle of 60.00 below the horizontal. The batter hits the ball away at 45.0 m/s at an angle of 30.00 above the horizontal. Video shows the collision time between the bat and ball was 25.0 ms. Determine the magnitude of the force exerted on the ball by the bat.