A water pump pumps water to a height of 20 m at the rate of 2 kg/s. What is the mechanical power developed by the power? $(g = 10 m / s^{2})$

9.3 m

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10.3 m

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8.3 m

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5.3 m

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Solution

The correct option is A
9.3 m

The kinetic energy of the pumped water remains constant. Therefore, change in potential energy = work done.

$P o w e r = \frac{W o r k d o n e}{t i m e}$
$= \frac{c h a n g e i n P E}{t i m e}$
$= \frac{m g h}{t} = \frac{m}{t} \times g h = 2 \times 10 \times 20 = 400 W$

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