An engine pumps water continously through a hose. Water leave 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?

Options

A. `1/2 mv^(3)`
B. `mv^(3)`
C. `1/2 mv^(2)`
D. `1/2 m^(2)v^(2)`

Answer

`(1)`

Explanation

Velocity of water is v, mass flowing per unit length is m. `therefore` Mass flowing per second = mv
`therefore` Rate of kinetic energy or K.E per second = `1/2(mv)v^(2) = 1/2 mv^(3)`