- Subject:
...

- Topic:
...

An engine pump is used to pump a liquid of density ρ 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

(1) $\frac{1}{2}A\rho {v}^{3}$

(2) $\frac{1}{2}A\rho {v}^{2}$

(3) $\frac{1}{2}A\rho v$

(4) $A\rho v$