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Question

An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water :

A
12m2v2
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B
12mv2
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C
mv32
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D
16m2v2
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Solution

The correct option is C mv32
Let m is the mass per unit length rate of mass per sec = mx/t=mv
Rate of KE=(mv)v2/2=mv3/2.
=mv32
Hence,
option (C) is correct answer.


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