A thin $39cm26cm$ flat plate is pulled at $3\mathrm{.}1\frac{m}{s}(V$ in figure below$)$ horizontally through a $3\mathrm{.}6-$

mm $-$thick oil layer sandwiched between two plates, one stationary and the other moving at a

constant velocity of $0\mathrm{.}26\frac{m}{s}(V_w$ in figure below$),$ as shown below. The dynamic viscosity of the

oil is $0\mathrm{.}024Pa*s.$ Assuming the velocity in each oil layer to vary linearly, determine the force in

Newton that needs to be applied on the plate to maintain this motion.