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22 August, 09:11

Water flows over a section of Niagara Falls at the rate of 1.1 * 106 kg/s and falls 50.0 m. How much power is generated by the falling water? The acceleration of gravity if 9.81 m/s 2. Answer in units of W.

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  1. 22 August, 09:32
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    5.395 * 10^8 Watts

    Explanation:

    We are given;

    Rate of flow is 1.1 * 10^6 kg/s Distance is 50.0 m Gravitational acceleration is 9.8 m/s²

    We are required to calculate the power that is generated by the falling water

    Power is the rate of work done It is given by dividing the energy or work done by time Power = Work done : time

    But; work done = Force * distance

    Therefore;

    Power = (F * d) : time

    The rate is 1.1 * 10^ 6 Kg/s

    But, 1 kg = 9.81 N

    Therefore, the rate is equivalent to 1.079 * 10^7 N/s

    Thus,

    Power = Rate (N/s) * distance

    = 1.079 * 10^7 N/s * 50.0 m

    = 5.395 * 10^8 Watts

    The power generated from the falling water is 5.395 * 10^8 Watts
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