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In a Little League baseball game, the 145 g ball enters the strike zone with a speed of 15.0 m/s . The batter hits the ball, and it leaves h
Question
In a Little League baseball game, the 145 g ball enters the strike zone with a speed of 15.0 m/s . The batter hits the ball, and it leaves his bat with a speed of 21.0 m/s in exactly the opposite direction.What is the magnitude of the impulse delivered by the bat to the ball?
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Physics
3 years
2021-08-25T18:10:21+00:00
2021-08-25T18:10:21+00:00 1 Answers
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Answer:
5.22 Ns
Explanation:
A consequence of Newton’s second law of motion is that:
Impulse = change in momentum
The initial momentum = (0.145 kg) × (15.0 m/s)
The final momentum = (0.145 kg) × (-21.0 m/s)
The final momentum has a negative sign because the ball returned in an opposite direction.
Change in momentum = final momentum – initial momentum = (0.145 kg) × (-21.0 m/s) – (0.145 kg) × (15.0 m/s)
= -0.145(21.0 + 15.0) kg m/s
= -0.145 × 36.0 kg m/s
= -5.22 kg m/s
The magnitude of the impulse is thus 5.22 Ns.