The velocity profile for a thin film of a Newtonian fluid that is confined between the plate and a fixed surface is defined by u = (5y-0.5y2) mm/s where y is in mm. Determine the force P that must be applied to the plate to cause this motion. The plate has a surface area of 4000mm2 in contact with the fluid. Take µ= 0.55 N. s/m2