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

Answer

C

Explanation

Water velocity = v
let distance covered in time t is x
mass per unit length = m
total mass travel in time t is mx
m. = mass flow per unit time = `(mx)/t = mv`
`K.E = 1/2 m.v^(2) = 1/2 mv^(3)`