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25 July, 01:48

Consider a system of a cliff diver and the Earth. The gravitational potential energy of the system decreases by 25,000 J as the diver drops to the water from a height of 44.0 m. Determine her weight in newtons.

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  1. 25 July, 02:49
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    568.18 N

    Explanation:

    From the question,

    The formula for gravitational potential is given as

    Ep = mgh ... Equation 1

    Where Ep = Gravitational potential, m = mass of the diver, h = Height.

    But,

    W = mg ... Equation 2

    Where W = weight of the diver.

    Substitute equation 2 into equation 1

    Ep = Wh

    Make W the subject of the equation

    W = Ep/h ... Equation 3

    Given: Ep = 25000 J, h = 44 m

    Substitute into equation 3

    W = 25000/44

    W = 568.18 N.

    Hence the weight of the diver = 568.18 N
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