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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Kiệt Gia 3 years 2021-08-25T18:10:21+00:00 1 Answers 9 views 0

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    2021-08-25T18:11:56+00:00

    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.

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