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  4. How much water a pump of 2 kW can raise in one minute to a height of 10 m ? (take g=10 m / s 2 )

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Q. How much water a pump of $2\, kW$ can raise in one minute to a height of $10\, m$ ? (take $g=10\, m / s ^{2}$ )

AIPMTAIPMT 1990Work, Energy and Power

Solution:

Power $=\frac{\text { work done }}{\text { time taken }}=\frac{W}{t}$
but $W=$ mass $\times$ gravity $\times$ height
$\therefore P=\frac{M \times g \times h}{t} $
$\Rightarrow M=\frac{p \times t}{g \times h}=\frac{2000 \times 60}{10 \times 10}=1200 \,kg $
i.e. $1200 $ litres as one litre has a mass of $1 \,kg$.