In a hydroelectric power station, how much potential energy is lost by 100tonnes of water flowing down through the pipes, falling a vertical

Question

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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Ben Gia 4 years 2021-08-31T15:04:09+00:00 1 Answers 60 views 0

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  1. sori
    0
    2021-08-31T15:05:30+00:00
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    Answer:

    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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