Problem 9.27 Part A A tennis player swings her 1000 g racket with a speed of 12.

Question

Problem 9.27 Part A A tennis player swings her 1000 g racket with a speed of 12.0 m/s. She hits a 60 g tennis ball that was approaching her at a speed of 20.0 m/s. The ball rebounds at 37.0 m/s 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 alue Units Submit My Answers Give Up Part B If the tennis ball and racket are in contact for 12.0 ms, what is the average force that the racket exerts on the ball? Express your answer with the appropriate units. ValueUnits Submit My Answers Give Up

Explanation / Answer

here,

mass of racket , m1 = 1 kg

mass of ball , m2 = 0.06 kg

initial speed of racket , u1 = 12 m/s

initial speed of ball , u2 = - 20 m/s

final speed of ball , v2 = 37 m/s

a)

let the final speed of racket be v1

using conservation of momentum

m1 * u1 + m2 * u2 = m1 * v1 + m2 * v2

1 * 12 - 0.06 * 20 = 1 * v1 + 37 * 0.06

v1 = 8.58 m/s

the final speed of racket is 8.58 m/s

b)

time taken , t = 12 ms = 0.012 s

the average force , F = impulse /time

F = m2 * (v2 - u2 )/t

F = 0.06 * ( 37 + 20)/0.012 N

F = 285 N

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