Question

If the power of the motor of a water pump is $3kW$, then the volume of water that can be lifted to a height of $10m$ in one minute by the pump is ($g=10m/s^2$) :

• A. $1800liters$
• B. $180liters$
• C. $18,000liters$
• D. $18liters$

Answer 1

The correct option is A $1800liters$

$P=\frac{WorkDone}{t}$
$P=\frac{mgh}{t}$
$P=\frac{\rho Vgh}{t}$

where $\rho$ is density and $V$ is volume of water
$3\times {10}^3=\frac{{10}^3\times V\times 10\times 10}{60}$
$\Rightarrow v=1.8m^3$ $=1800$ $liters$