Answer to Question #252352 in Physics for Phil Collins

Question

A 0.145 kg baseball pitched at 39.0 m/s is hit on a horizontal line drive straight back toward the pitcher at 52.0 m/s. If the contact time between the bat and ball is 1.0 x 10^-3 s, calculate the average force between the ball and bat during contact.

Answer 1

The average force can be found in terms of impulse:

$$F=\Delta p/t=(mv_f-mv_i)/t,\\ F=m(v_f-v_i)/t,\\ F=0.145(52-(-39))/0.001=13195\text{ N}.$$