A tennis player player receives a shot with the ball (.06kg) travelling horizontally at 50.0 m/s and returns the shot with the ball travelling horizontally at 40.0 m/s in the opposite direction. a) What is the impulse delivered to the ball by the tennis racquet? b) What work does the racquet do on the ball?

Question

Physics

Damion Lara

8 February, 00:46

A tennis player player receives a shot with the ball (.06kg) travelling horizontally at 50.0 m/s and returns the shot with the ball travelling horizontally at 40.0 m/s in the opposite direction. a) What is the impulse delivered to the ball by the tennis racquet? b) What work does the racquet do on the ball?

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Answers (1)

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Ishaan Foster · Answer 1

Let:

m - 0.0600Kg

v1 - + 50.0 m/s

v2 - - 42 m/s

a)

momentum1 - momentum2 = impulse

p1 - p2 = Ft

m (v1 + v2) = Ft

Ft = 0.54 N-s

b)

Work is traditionally force times distance but an easy way to get through this one is to think logically and keep your units straight:

The racket creates an overall velocity of 90 m/s for the ball:

W = (Ft) * (V)

W=0.54 N-s * 90 m/s

W=48.6 N-m = 48.6 J