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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?
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Verified Answer
The correct answer is:
$800 \mathrm{~W}$
$$
\begin{aligned}
\text { Power } & =\mu \mathrm{v}^3=\frac{\mathrm{m}}{\mathrm{l}} \times \mathrm{v}^3 \\
& =100 \times(2)^3=800 \mathrm{~W}
\end{aligned}
$$
\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}
$$
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