Answer:
The claim is not reasonable
Explanation:
From the question we are told that
The power consumed is [tex]P = 2kW = 2*10^3 W[/tex]
The height of the pool's free surface is [tex]h = 30 \ m[/tex]
The rate is [tex]Q = 53\ L /s[/tex]
Given that the rate is 53 liters in 1 second , let say the 1 liter is equivalent to 1 kg so 50 liter = 50 kg
So the workdone by the pump is mathematically represented as
[tex]W = m * g * h[/tex]
=> [tex]W = 50 * 9.8 * 30[/tex]
=> [tex]W =14700 \ J [/tex]
So what this value is telling us is that 14700 J of work is done in one second
and generally power is workdone per time thus the power consumed to move water at the given rate is 14.7 kW which is far greater than the power stated in the question so the claim is not reasonable
