A thin flat plate of length 1 is placed in a uniform inflow, such that the inflow is tangent to the plate. What is the drag force Få exerted by the plate? To increase the drag force Fa to n times, where n is some positive number, and assuming that you cannot modify the inflow, how are you going to modify the thin flat plate? You may assume laminar flow in the boundary layer over the flat plate. (4) (b) In an engineers-without-borders program in which you are involved, you are supposed to design a low-cost range hood to help women in developing countries to remove soot particles coming from burning bio-fuels when cooking indoors. Given that the diameter d of the largest soot particle is 0.2 mm, density of air Pair = 0.25 kg/m³, viscosity µof air is 5x10-5 Pa s, the density of a soot particle is pm = 1200 kg/m³. If the range hood works by creating an upward air flow at some speed U, shown in Figure 2, what is the minimum U to ensure that the particle will be removed by the range hood?Hint: 1) You can assume that the drag coefficient Ca on the soot particle is given byCa = 24/Red. 2) Draw a free body diagram to help you set up the problem (if the free body diagram is drawn correctly, you will get 2 points.) (8)2