Q$3$: Figure $(3)$ shows a belt conveyor is used to lift water. Assuming the velocity profile across the film thickness is two$-$dimensional, and the velocity$-$free surface is zero, derive the expressions for the velocity profile. Also, calculate the power required to drive the belt of unit width $(1m).$ Assuming that only work is done due to shear stress at the belt surface, the kinematic viscosity for water is ${10}^{-6}\frac{m^2}{s}.$