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19 December, 22:01

A tennis player hits a 58.0 {/rm g} tennis ball so that it goes straight up and reaches a maximum height of 7.35 {/rm m}. How much work does gravity do on the ball on the way up?

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  1. 20 December, 00:44
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    The answer is - 4.18 J

    A work (W) is a product of a force (F) and a distance (d) : W = - F · d (negative because it goes way up, against the gravitation)

    Since the force is a product of mass and acceleration: F = m · a

    then work would be: W = - m · a · h

    It is known:

    m = 58 g = 0.058 kg

    h = 7.35 m

    a = 9.8 m/s² (gravitational acceleration, since is expected that on some height gravitation force will work).

    Therefore,

    W = - 0.058 * 7.35 * 9.8 = - 4.18 J
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