This question is related to density where 16.7 kW power is used.
What is Density?
Density is defined as mas per unit volume. It is denoted by ρ
We know the density of water is 1000kg/m³.
The given volume is 10m³. we have to find the mass. i.e. 10000 kg.
We know that [tex]Density =\frac{mass}{Volume}[/tex]
Mass = Density x Volume
Mass = 1000kg/ m³ x 10m³ = 10000kg.
Here, We know that work against gravity is mgh.
So, 10000 kg x 10 m/s² x 50m = 5000000J.
But only one fifth of its energy is used.
5000000 / 5 = 1000000
Now we have the work done and time, so lets solve power.
Power=work done /time
1000000/60sec.
Power =16666.67 or 16.7kW
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