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Gravitational Potential Energy

Water falls f...

Question

Water falls from a height of $60 m$ at the rate of $15 k g / s$ to operate a turbine. The losses due to frictional forces are 10% of energy. How much power is generated by the turbine? $(g = 10 m / s^{2})$

12.3 k W

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7.0 k W

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8.1 k W

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10.2 k W

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Solution

The correct option is C $8.1 k W$
Mass of water falling/second $= 15 k g / s$
$h = 60 m, g = 10 m / s^{2},$ loss=10 %
i.e.,90% is used.
Power generated $= 15 \times 10 \times 60 \times 0.9$
$= 8100 W = 8.1 k W .$
Hence, the correct answer is option (c).

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