Question

the power of motor pump is 0.392 kw find the amount of water pumped by it to a height of 10 m in 60s
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Answer 1

Motor pump can pump 2400 kg water in 60 seconds to 10 meter height.

Given that,

 Power of motor pump  P= 0.392 kw = 392 Watt

 height to be pumped h = 10 meter

 time taken to pump t = 60 seconds

As we know that,

 work done = power × time

Hence

 work done = 392 × 60

                    =  23,520 Joule

We know that

 acceleration due to gravity g = 9.81 $\frac{meter}{sec^{2} }$

and,

 Pottential Energy = mgh

Here m = mass of water in kg

Now,

 Work done = Pottential energy of water at height 10 mtr

Then,

 23,520 = m×9.81×10

Therefore,

  m = 2400 kg

Hence Motor pump can pump 2400 kg water in 60 seconds to 10 meter height.