A batter hits a 0.140-kg baseball that was approaching him at 19.5 m/s and, as a result, the ball leaves the bat at 44.8 m/s in the reverse of its original direction. The ball remains in contact with the bat for 1.7 ms. What is the magnitude of the average force exerted by the bat on the ball?

Question

Physics

Kinley Cordova

15 February, 06:25

A batter hits a 0.140-kg baseball that was approaching him at 19.5 m/s and, as a result, the ball leaves the bat at 44.8 m/s in the reverse of its original direction. The ball remains in contact with the bat for 1.7 ms. What is the magnitude of the average force exerted by the bat on the ball?

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Answers (1)

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Alani Lawson · Answer 1

5295.3 N

Explanation:

According to law of momentum conservation, the change in momentum of the ball shall be from the momentum generated by the batter force

mv + P = mV

P = mV - mv = m (V - v)

Since the velocity of the ball before and after is in opposite direction, one of them is negative

P = 0.14 (44.8 - (-19.5)) = 9 kg m/s

Hence the force exerted to generate such momentum within 1.7ms (0.0017s) is

F = P/t = 9/0.0017 = 5295.3 N