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) m_(0)v^(3)`
B. `(1)/(2) m_(0)v^(2)`
C. `(1)/(2)m_(0) v^(3//2)`
D. `(1)/(2)m_(0)v^(1//2)`

Answer

A

Explanation

`m_(0)=(dm)/(dx)`
`(d)/(dn) (KE)=(d)/(dt)((1)/(2)mv^(2))=(1)/(2) ((dm)/(dt))v^(2)`
=`(1)/(2)((dm)/(dx))((dx)/(dt))v^(2)=(1)/(2)m_(0)v^(3)`.