An engine pump is used to pump a liquid of density rho continuously through a pipe of cross-sectional area A. If the speed of flow of the liquid in the pipe is v, then the rate at which kinetic energy is being imparted to the liquid is

An engine pump is used to pump a liquid of density rho continuously th

1.	An engine pump is used to pump a liquid of density rho continuously through a pipe of cross-sectional area A. If the speed of flow of the liquid in the pipe is v, then the rate at which kinetic energy is being imparted to the liquid is
Answer» `1/2 A RHO V^3` `1/2 A rho v^2` `1/2 A rho v` `A rho v` Solution :Volume flowing/second = Av MASS flowing/second , `m = A vrho` Rate at which kinetic ENERGY is imparted to the LIQUID is `= 1/2 mv^2 = 1/2 (A vrho) v^2 = 1/2 A rho v^3`.