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23 November, 14:49

Bart runs up a 2.91-meter high flight of stairs at a constant speed in 2.15 seconds. If Bart's mass is 65.9 kg, determine the work which he did and his power rating answers.

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  1. 23 November, 15:36
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    Work = 1879.34 J

    Power = 874.11 Watt.

    Explanation:

    Work; This can be defined as the distance moved a force along a specific direction.

    The mathematical representation of work done is

    W = mgh ... Equation 1

    Where W = work done, m = mass of Bart, h = height, g = acceleration due to gravity.

    Power: This can be defined as the rate of doing work.

    It is represented mathematically as

    P = W/t ... Equation 2

    where p = power, W = work done, t = time.

    given: m = 65.9 kg, h = 2.91 m, t = 2.15 s

    Constant: g = 9.8 m/s²

    Substituting these values into equation 1

    Work,

    W = mgh

    W = 65.9*2.91*9.8

    W = 1879.34 J

    Power

    P = W/t

    Also substituting into equation 2

    P = 1879.34/2.15

    P = 874.11 Watt.
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