Interactive LearningWare 7.1 reviews the approach that is necessary for solving

Question

Interactive LearningWare 7.1 reviews the approach that is necessary for solving problems such as this one. A baseball (m = 149 g) approaches a bat horizontally at a speed of 43.1 m/s (96.4 mi/h) and is hit straight back at a speed of 54.2 m/s (121 mi/h). If the ball is in contact with the bat for a time of 1.70 ms, what is the average force exerted on the ball by the bat? Neglect the weight of the bat, since it is so much less than the force of the bat. Choose the direction of the incoming ball as the positive direction.

Explanation / Answer

Given,

Mass of baseball, m = 149 g = 0.149 kg

Initial velocity, u = 43.1 m/s

Final velocity, v = 54.2 m/s

Time, t = 1.70 x 10-3 s

F = Rate of change of momentum (dP/dt) = m x ( v-u )/t =( 0.149 (-54.2 - 43.1)) / (1.70 x 10-3) = - 8528.06 N

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