Question

The power of a motor pump is 5kW .

How much volume of water per minute the pump can raise to a height of 20m?

(g = 10m/s²)​

Answer 1

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Refer to the attachment *

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Answer 2

Question :

The power of a motor pump is 5kW .

How much volume of water per minute the pump can raise to a height of 20m?

(g = 10m/s²)

Solution :

Power of pump = P = 5kW = 5000 W

Height to which water will raise = h = 20m

g = 10m/s² (given)

Time = t = 1 minute = 60 seconds

Let the pump raise m kg of water then power ,

$\frac{work}{time} \\ \\ = \frac{mgh}{t} \\ \\ m = \frac{pt}{gh} = \frac{5000 \times 60}{10 \times 20} = 1500 \: kg$

As density of water p = 1000 kg/m³ , hence volume of water raised =

$v = \frac{m}{p} \\ \\ = \frac{1500}{1000} = 1.5 \: {m}^{3} = 1.5kl$