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Calculate the power of the engine …

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Calculate the power of the engine required of let 90 matric tonnes of coal per hour from a coal mine of depth 200 m (g=9.8m/s)

    • Posted by Sourav Singh 4 years ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Gaurav Seth 3 years, 11 months ago

    Here,

    1 metric ton = 1000 kg

    So, 90 metric ton = 90×103 kg

    m = 9×104 kg

    h = 200 m

    g = 9.8 ms-2

    Time taken = 1 hr = 3600 s

    The potential energy of a mass m raised to a height h = mgh

    Now to raise a mass 9×104 kg to a height 200 m we must do work equal to the potential energy of the mass at 200 m.

    Potential energy of mass at 200 m = mgh= 9×104×9.8×200 Joule

    So, work done must be = 9×104×9.8×200 Joule

    Again we know power P = work done / time taken

    P = 9×104×9.8×200/3600 = 49000 watt. or 49 kW

    0Thank You

    ANSWER
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