Three parallel flat plates are separated by two fluids. Plate $1($at the top$)$ is at rest. Between plates $1$ and $2$ there is water at $20$ C and between plates $2$ and $3$ there is soybean oil at the same temperature. The distance between each plate is $7$ cm$.$ Plate $3($at the bottom$9)$ moves at $5$m$/$s in the $(-$x$)$ direction. Calculate: a$)$ the speed of plate $2$ in a steady state. b$)$ the force per unit area on plate $3$ required to maintain the speed at $5$ m$/$s$.$