A Newtonian fluid with a viscosity of $10$ cP is located between two large parallel plates. The distance between the plates is $4$ mm$.$ The upper plate is pushed in the negative direction with a force of $2$ N$,$ while the lower plate is pushed in the positive$-$x direction with a force of $0\mathrm{.}5$ N$.$ The area of each plate is $2\mathrm{.}5$ m$2.$ If the velocity of the lower plate is $0\mathrm{.}1$ m$/$s$,$

find the steady$-$state momentum flux.

What is the velocity of the upper plate?