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Mechanical Properties of Fluids
Question
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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?

  • mv3 /2

  • mv3

  • mv2/2

  • m2v2 /2

Answer

A.

mv3 /2

Let m is the mass per unit length rate  of mass per sec = mx/t = mv
Rate of KE = (mv)v2/2  = mv3/2

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