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 )

Question

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 ) (A) 1000 litres (B) 1200 litres (C) 100 litres (D) 2000 litres

Tardigrade Admin · Accepted Answer

Power =( text work done / text time taken )=(W/t) but W= mass × gravity × height ∴ P=(M × g × h/t) ⇒ M=(p × t/g × h)=(2000 × 60/10 × 10)=1200 kg i.e. 1200 litres as one litre has a mass of 1 kg.

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

1000 litres

1200 litres

100 litres

2000 litres

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

Q. How much water a pump of 2kW can raise in one minute to a height of 10m ? (take g=10m/s2 )