1) (25 points) The Newtonian fluid is confined between the plate and a fixed surface. The plate has a surface area 2.5m2 in contact with the fluid. The fluid has a viscosity of , which needs to be determined. The fluid's velocity profile is defined by u=50y(120y)m/s where y is in the unit m. a) (20 points) If the thickness of the liquid layer h is 0.005m and a force F of 20N at an angle of 30 is required to pull the plate at a constant speed of u (in the unit of m/s ). Please determine the speed u and the viscosity of the fluid. b) ( 5 points) For the question a) above, what is the average velocity of the liquid layer