#36 her catches a 145 g baseball traveling horizontally at (a) How large an impu

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#36

her catches a 145 g baseball traveling horizontally at (a) How large an impulse does the ball give to the catch- f the ball takes 20 ms to stop once it is in contact with the glove, what average force did the ball exert on the catcher? calk ock of ice with a mass of 2.50 kg is moving on a frictionless horizontal surface. Atr -0, the block is moving to the right with a elocity of magnitude 8.00 m/s. Calculate the magnitude and direc- er? (b) I of the velocity of the block after each of the following forces been applied for 5.00 s: (a) a force of 5.00 N directed to the (b) a force of 7.00 N directed to the left. h Biomechanics. The mass of a regulation tennis ball is 57.0 g (al though it can vary slightly), and tests have shown that the ball is n contact with the tennis racket for 30 ms. (This number can also vary, depending on the racket and swing.) We assume a 30.0 ms con- 36. Bio time in this problem. In the 2011 Davis Cup competition, Ivo tact 43 Karlovic made one of the fastest recorded serves in history, which was clocked at 156 mph (70 m/s). (a) What impulse and what aver- age force did Karlovic exert on the tennis ball in his record serve? (b) If his opponent returned this serve with a speed of 55.0 m/s. what impulse and what average force did his opponent exert on the ball, assuming purely horizontal motion? 37. Il To warm up for a match, a tennis player hits the 57.0 g ball verti- cally with her racket. If the ball is stationary just before it is hit and goes 5.50 m high, what impulse did she impart to it? 38. I A 150 g baseball is hit toward the left by a bat. The magnitude of the force the bat exerts on the ball as a function of time is shown in Figure 8.41. (a) Find the magnitude and direction of the impulse that

Explanation / Answer

Impulse = F.dt = change in momentum = 0.057kg * 70m/s = 3.99 N.s

Force F = 3.99 N.s / 0.030s = 133 N

Opponent impulse = 0.057kg * (55.0 – –70.0 m/s) = 0.057*125.0 kg.m/s = 7.125 N.s

Opponent force = 7.125 N.s / 0.030 s = 237.5 N

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