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30 May, 06:50

In a hydroelectric power station, how much potential energy is lost by 100tonnes of water flowing down through the pipes, falling a vertical distance of 200metres? [1tonne=1000kg.]

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  1. 30 May, 08:26
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    196000000 J

    Explanation:

    Potential Energy: This can be defined as the energy of a body due to its position in the gravitational field.

    From the question,

    P. E = mgh ... Equation 1

    Where P. E = potential Energy, m = mass of the water, h = height, g = acceleration due to gravity.

    Given: m = 100 tonnes = (100*1000) = 100000 kg, h = 200 m

    Constant: g = 9.8 m/s²

    Substitute into equation 1

    P. E = 100000 (200) (9.8)

    P. E = 196000000 J.

    Note: When a object falls through a height he losses its potential energy.

    Hence the potential energy lost = 196000000 J = 196 MJ.
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