A thin plate moves between two parallel, horizontal, stationary flat surfaces at a constant velocity of V $=6$ m$/$s$.$ The two stationary surfaces are spaced $4$ cm apart, and the medium between them is filled with oil whose viscosity is $0\mathrm{.}9$ N$$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$1)?$

If the plate moves through the mid$-$plane between the surfaces, the force required to maintain the motion will be

N$.$

If the plate was $1$ cm from the bottom surface $($h$2)$ and $3$ cm from the top $($h$1)$ surface, the force required to maintain the motion would be

N$.$