The mass of a regulation tennis ball is 57.0 g (although it can vary slightly), and tests have shown that the ball is in contact with the tennis racket for 30 ms. (This number can also vary, depending on the racket and swing.) We assume a 59.0 g ball and a 26.0 ms contact time in this problem. In the 2011 Davis Cup competition, Ivo Karlovic made one of the fastest recorded serves in history, which was clocked at 156 mi//h (70 m/s). Part A: What impulse did Karlovic exert on the tennis ball in his record serve? Take the +x direction to be along the final direction of motion of the ball. Part B: What average force did Karlovic exert on the tennis ball in his record serve? Part C: If his opponent returned this serve with a speed of 55.0 m/s, what impulse did his opponent exert on the ball, assuming purely horizontal motion? Take the +x direction to be in the direction the ball is traveling before it is hit by the opponent. Part D: If his opponent returned this serve with a speed of 55.0 m/s, what average force did his opponent exert on the ball, assuming purely horizontal motion?

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The mass of a regulation tennis ball is 57.0 g (although it can vary slightly), and tests have shown that the ball is in contact with the tennis racket for 30 ms. (This number can also vary, depending on the racket and swing.) We assume a 59.0 g ball and a 26.0 ms contact time in this problem. In the 2011 Davis Cup competition, Ivo Karlovic made one of the fastest recorded serves in history, which was clocked at 156 mi//h (70 m/s).

Part A: What impulse did Karlovic exert on the tennis ball in his record serve? Take the +x direction to be along the final direction of motion of the ball.

Part B: What average force did Karlovic exert on the tennis ball in his record serve?

Part C: If his opponent returned this serve with a speed of 55.0 m/s, what impulse did his opponent exert on the ball, assuming purely horizontal motion? Take the +x direction to be in the direction the ball is traveling before it is hit by the opponent.

Part D: If his opponent returned this serve with a speed of 55.0 m/s, what average force did his opponent exert on the ball, assuming purely horizontal motion?

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