An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of $2…

An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of $2 \mathrm{~ms}^{-1}$. The mass per unit length of water in the pipe is $100 \mathrm{kgm}^{-1}$. What is the power of the engine?
  1. $400 \mathrm{~W}$
  2. $200 \mathrm{~W}$
  3. $100 \mathrm{~W}$
  4. $800 \mathrm{~W}$

Solution

$\begin{aligned} \text { Power } & =\mu \mathrm{v}^3=\frac{\mathrm{m}}{\mathrm{l}} \times \mathrm{v}^3 \\ & =100 \times(2)^3=800 \mathrm{~W} \end{aligned}$ .

Asked in: NEET 2010 (Screening)

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