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26 July, 22:40

A baseball (m = 145 g) traveling 32 m/s moves a fielder's glove backward 25 cm when the ball is caught. What was the average force exerted by the ball on the glove?

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  1. 26 July, 22:51
    0
    297 N

    Explanation:

    First, find the acceleration of the ball.

    Given:

    Δx = 0.25 m

    v₀ = 32 m/s

    v = 0 m/s

    Find: a

    v² = v₀² + 2aΔx

    (0 m/s) ² = (32 m/s) ² + 2a (0.25 m)

    a = - 2048 m/s²

    Find the force exerted on the ball by the glove.

    F = ma

    F = (0.145 kg) (-2048 m/s²)

    F = - 297 N

    The force exerted by the ball on the glove is equal and opposite.

    -F = 297 N

    Round as needed.
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