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 40.8 m/s (91.3 mi/h) and is hit straight back at a speed of 53.7 m/s (120 mi/h). If the ball is in contact with the bat for a time of 1.37 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.

the tolerance is +/-2%

Explanation / Answer

m = mass of baseball = 149 g = 0.149 kg

Vi = initial velocity of ball = 40.8 m/s

Vf = final velocity of ball = - 53.7 m/s

t = time taken = 1.37 ms = 0.00137 sec

F = average force

using impulse-change in momentum equation

F t = m (Vf - Vi)

F (0.00137) = 0.149 (- 53.7 - (40.8))

F = - 10277.7 N

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