A pump draws water from a reservoir and sends it through a horizontal pipe with speed v. Find the relation between power of the pump and velocity of liquid.

Explanation

From work - energy theorem
`P=(KE "imparted to water")/("time")`
`=(KE)/("volume of water")xx("volume of water")/("time")`
`=(1/2rhov^(2))(AV)` or `P prop v^(3)`