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QAIPMT-2009-Ph-2151: NEET 2009 Physics - Class 11 AIPMT-2009-Ph-2151 Solution: An engine pumps water continuously through a hose. Water leaves …

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?

Multiple Choice Options

A $mv^3$
B $\frac{1}{2}mv^2$
C $\frac{1}{2}m^2v^2$
D $\frac{1}{2}mv^3$

Step-by-Step Verified Solution

Let m be the mass per unit length, so the rate of mass leaving the hose per sec = mv Rate of kinetic energy K.E = 1 2 ( m v ) v 2 = 1 2 m v 3

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