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24 February, 21:52

A object of mass 33 is dropped from a height of 85 meters. Calculate the average power developed by the object in falling through this distance.

Take g as 9.81 m/s^2

give the answer in watts to three significant figures

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  1. 24 February, 22:12
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    Power = Work done / Time taken.

    Work done = mgh

    Mass, m = 33kg (Am presuming it is 33 kg).

    h = 85 m.

    Work done = 33 * 9.81 * 85 = 27517.05 J.

    Time taken.

    Since object was dropped from height, it fell under gravity.

    Using H = ut + (1/2) * gt^2. u = 0.

    H = 1/2 gt^2.

    t = (2H/g) ^ (1/2)

    t = (2*85/9.81) ^ 0.5 = 4.1628 s.

    Power = 27517.05 / 4.1628 = 6610.23 Watts.

    = 6610 W to 3 S. f.
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