$2)$ A thin plate moves between two parallel, horizontal, stationary flat surfaces at a constant velocity of $\backslash (5\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The two stationary surfaces are spaced $4$ cm apart. and the medium between them is filled with oil whose viscosity is $10$ Poise. The part of the plate immersed in oil at any given time is $\backslash (2-\backslash$mathrm$\{$m$\}\backslash )$ long and $\backslash (0\mathrm{.}5-\backslash$mathrm$\{$m$\}\backslash )$ wide.

Determine:

A$)$ The drag force required to maintain this motion when The thin plate moves through the mid$-$plane between the two stationary surfaces

B$)$ The thin plate was $1$ cm from the top surface $\backslash (\backslash$left$($h$\_\{1\}\backslash$right$)\backslash )$ and $3$ cm from the bottom surface $(\backslash ($ h$\_\{2\}\backslash ))$

C$)$ The power utilized in overcoming viscous resistance in both cases.