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  4. An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of 2 m/s. The mass per unit length of water in the pipe is 100 kg/m. What is the power of the engine?

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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 $2 \,m/s$. The mass per unit length of water in the pipe is $100 \,kg/m$. What is the power of the engine?

AIPMTAIPMT 2010Work, Energy and Power

Solution:

Here,
Mass per unit length of water, $\mu=100 \,kg / m$
Velocity of water, $v=2 \,m / s$
Power of the engine, $P=\mu v^{3}$
$=(100 \,kg / m )(2\, m / s )^{3}$
$=800 \,W$