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Matter In Our Surroundings

Question
CBSEENSC9006393

A tube-well pumps out 2400 kg of water per minute. If water is coming out with a velocity of 3 ms-1, what is power of the pump ? How much work is done, if the pump runs for 10 hours?

Solution
Here  we have,

Mass of the water being pumped, m = 2400 kg

Time taken to pump out the water, t = 1 min
                                                        = 60  s

Velocity with which the water is coming out, v = 3 m/s

Pump runs for 10 hours.

Power of the pump, P = Work donetime taken = K.Et = 12mv2t

                                 = 2400×3×32×60 = 180 W