A thin plate moves between two parallel, horizontal, stationary flat surfaces at a constant velocity of $5\frac{m}{s}.$ The two stationary surfaces are spaced $4$ cm apart, and the medium between them is filled with oil whose viscosity is $0\mathrm{.}9N*\frac{s}{m^2}.$ The part of the plate immersed in oil at any given time is $2-m$ long and $0\mathrm{.}5-m$ wide. If the plate moves through the mid$-$plane between the surfaces, determine the force required to maintain this motion. What would your response be if the plate was $1$ cm from the bottom surface $(h_2)$ and $3$ cm from the top surface $(h_1)?$

Question$-$

$($a$)$ What is the force required to maintain this motion? $(450$N$)$

$($b$)$ What would be the difference if the plate is $1$ cm from the bottom of the surface and $3$ cm from the top of the surface $)$