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17 April, 05:20

A 2 kg object released from rest at the top of a tall cliff reaches a terminal speed of 37.5 m/s after it has fallen a height of 110 m. How much kinetic energy approximately did the air molecules gain from the falling object after it has fallen through this height?

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  1. 17 April, 07:18
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    3562.25 J

    Explanation:

    m = mass of the object = 2 kg

    v = speed of the object after falling through height of 110 m, = 37.5 m/s

    h = height through which the object fall = 110 m

    KE = Kinetic energy gained by air molecules

    Kinetic energy gained by air molecules is given as

    KE = (0.5) m v² + mgh

    KE = (0.5) (2) (37.5) ² + (2) (9.8) (110)

    KE = 3562.25 J
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