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Q.

An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of 2 ms-1. The mass per unit length of water in the pipe is 100 kgm-1. What is the power of the engine?

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a

400 W

b

200 W

c

100 W

d

800 W

answer is A.

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Detailed Solution

Amount of water flowing per second from the pipe

 = mtime = ml.lt = (ml)v

Power = KE of water flowing per second

         = 12(ml)v.v2 = 12(ml)v3

         = 12×100×8 = 400 W

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