Question

Calculate the power of a pump which lifts 500kg of water through a vertical height of 400cm in 5sec (assume g to be 10 m/s).

Answer 1

Work must be done

$$W=mgh$$

Power it is

$$P=\frac{W}{t}$$

So, The power of pump

$$P=\frac{mgh}{t}$$

Calculating

$$P=\frac{500\cdot 4\cdot 10}{5}=4 (kW)$$