A tennis player swings her 1000 g racket with a speed of 7.00 m/s. She hits a 60

Question

A tennis player swings her 1000 g racket with a speed of 7.00 m/s. She hits a 60 g tennis ball that was approaching her at a speed of 16.0 m/s. The ball rebounds at 35.0 m/s. You may want to review For help with math skills, you may want to review: How fast is her racket moving immediately after the impact? You can ignore the interaction of the racket with her hand for the brief duration of the collision. Express your answer with the appropriate units. If the tennis ball and racket are in contact for 15.0 ms, what is the average force that the racket exerts on the ball? Express your answer with the appropriate units.

Explanation / Answer

A) Using momentum conservation,

momentum before collision = momentum after collision

1000 x 7 + 60 x (-16) = 60 x 35 + (1000 v)

v = 3.94 m/s

b) Impulse = change in momentum = F x time

0.060 x (35 - (-16)) = F x 0.015

F = 204 N

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