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Question

Power of a water pump is 2 kW. If $g = 10 m / \sec^{2}$ , the amount of water it can raise in one minute to a height of 10 m is (in litre)

Moderate

Solution

$P = \frac{mgh}{t} \Rightarrow m = \frac{p \times t}{gh} = \frac{2 \times 10^{3} \times 60}{10 \times 10} = 1200 kg$
As volume = $\frac{mass}{density} \Rightarrow v = \frac{1200 kg}{10^{3} kg / m^{3}} = 1 .2 m^{3}$
Volume = $1 .2 m^{3} = 1 .2 \times 10^{3} litre = 1200 litre$

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