(Solved): please show each steps and solve A thin plate moves between two parallel, horizontal, stationary ...

A thin plate moves between two parallel, horizontal, stationary flat surfaces at a constant velocity of $$5\mathrm{m}/\mathrm{s}$$. The two stationary surfaces are spaced $$2.5\mathrm{cm}$$ apart, and the medium between them is filled with oil whose viscosity is $$0.9\mathrm{N}?\mathrm{s}/{\mathrm{m}}^2$$. The part of the plate immersed in oil at any given time is $$2\mathrm{m}$$ long and $$0.5\mathrm{m}$$ wide. If the viscosity of the oll above the moving plate is four times that of the oil below the plate, determine the distance of the plate from the bottom surface $$\left(h_2\right)$$ that will minimize the force needed to pull the plate between the two oils at constant velocity. The distance of the plate from the bottom surface $$\left(h_2\right)$$ that will minimize the force needed to pull the plate between the two olls at constant velocity is $$\mathrm{cm}$$.