An engine pumps water continuously through a hole. Speed with which water passes through the hole nozzle is v, and k is the mass per unit length of the water jet as it leaves the nozzle. Find the rate at which kinetic energy is being imparted to the water.

mass per unit length of water jet is K = MassLength=dmdx,                                                                    v = speed of water                                 Kinetic energyKE = 12mv2 differentiate with respect to time,                                                              ddt(KE) = 12 (dmdt)  v2divide and multiply with dx,                                                               ddt(KE)    = 12(dmdx.dxdt)   v2  rate at which kinetic energy is being imparted to the water   =  kvv22 = kv32