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18 December, 00:33

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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  1. 18 December, 03:44
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    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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