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)/(2)rhov^(2))(Av)or P alpha v^(3)`