​​Th epower of a motor pump is 5kw How much water per minute the pump can raise to a height of 20m. Experts i have seen this question in that the experts have found the mass but we have to find the volume . Pls ans soon

Dear Student,

Please find below the solution to the asked query :

We know that,

power (P) = work done (or energy) / time

here work done  =  potential energy = m g h

and time, t = 60 s

so,

P = 5000 W

g = 10 m/s2

h = 20 m
the amount of water lifted is given by,

m = P t / g h = (5000 x 60) / (10 x 20)

or

m = 1500 kg

Hope this would clear your doubt about the topic.


If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

Regards

  • -1
Hello Sameer dear, power = work / time
Work = force x distance
Force = mass x acceleration due to gravity
Mass = volume x density
So power = volume x density x acceleration due to gravity x height / time
Hence required volume = power x time / (density x acceleration x height)
Now V = 5000 x 60 / (1000 x 9.8 x 20)
Hope you would do the rest and find the volume as 1.531 m^3 = 1531 litre (nearly)
  • 0
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