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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?

1. mv²
2. 1/2 mv²
3. 1/2 mv³
4. 1/2 mv²

Correct answer: 1/2 mv³

Solution

The rate at which kinetic energy is imparted to the water is given by the power, which is the product of the kinetic energy per unit mass (1/2 mv²) and the mass flow rate (m × v). This simplifies to (1/2) mv³.

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