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  • The power of a motor pump is 2 kW. How much water per minute the pump can raise to a height of 10 m? (Given g = 10 m s^–2)

The power of a motor pump is 2 kW. How much water per minute the pump can raise to a height of 10 m? (Given g = 10 m s^{-2} )

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Answer: 1200kg

Solution.

The power of pump is 2 kW, it means it can give energy equal to 2000 Joule in one second.
Total time given is one minute; therefore, the motor pump's total energy will be equal to 1,20,000 joule.
Energy=power\times time
This energy will be equal to the potential energy of the water raised to 10 m.
Let mass of the water raised is M kg.
Therefore, its potential energy at height H =10 m  will be:
PE=mgh
=M\times 10\times 10
\Rightarrow 120000=100M
\Rightarrow M=1200kg
It means 1200 kg water can be raised up height 10 m, in one minute by this motor pump.

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