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A(n) 0.576 kg soccer ball approaches a player horizontally with a speed of 20.9 m/s. The player illegally strikes the ball with her hand and causes it to move in the opposite direction with a speed of 9.73 m/s. What is the magnitude of the impulse delivered to the ball by the player?

1 Answer

5 votes

Answer:

17.6kg.m/s in the opposite direction of the initial velocity.

Step-by-step explanation:

In order to solve this we can use the Impulse-Momentum theorem:


J=\Delta p\\J=m(v_f-v_o)

We will assume the motion of the ball approaching the player as positive, so:


J=0.576kg((-9.73m/s)-20.9m/s)=-17.6kg.m/s

So the impulse is 17.6kg.m/s in the opposite direction of the initial velocity.

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