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14 November, 17:44

A champion athlete can produce one horsepower (746 W) for a short period of time. The number of 16-cm-high steps a 70-kg athlete could ascend in one minute while expending one horsepower is

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  1. 14 November, 18:03
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    407 steps

    Explanation:

    From the question,

    P = mgh/t ... Equation 1

    Where P = power, m = mass, g = acceleration due to gravity, h = height, t = time.

    Make h the subject of the equation

    h = Pt/mg ... Equation 2

    Given: P = 746 W, t = 1 minute = 60 seconds, m = 70 kg.

    Constant: g = 9.8 m/s²

    Substitute into equation 2

    h = 746 (60) / (70*9.8)

    h = 44760/686

    h = 65.25 m

    h = 6525 cm

    number of steps = 6525/16

    number of steps = 407 steps
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