Question

An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of \(2 \mathrm{~m} / \mathrm{s}\). The mass per unit length of later in the pipe is 100 \(\mathrm{kg} / \mathrm{m}\). What is the power of the engine?
(a) \(400 \mathrm{~W}\)
(b) \(200 \mathrm{w}\)
(c) \(100 \mathrm{~W}\)
(d) \(800 \mathrm{w}\)

Answer 1

$$
\begin{aligned}
&\text { Correct option (d) } 800 \mathrm{w} \\
&\text { Explanation: } \\
&\text { Here, Mass per unit length of water, } \mu=100 \mathrm{~kg} / \mathrm{m} \\
&\text { Velocity of water, } v=2 \mathrm{~m} / \mathrm{s} \\
&\text { Power of the engine, } p=\mu v^{3}=(100 \mathrm{~kg} / \mathrm{m})(2 \mathrm{~m} / \mathrm{s})^{3} \\
&=600 \mathrm{~W}
\end{aligned}
$$

Answer 2

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Answer 3

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