Problem 3 (35 points) gravity as shown in the figure with the given coordinate system. Consider a thin sheet of liquid with density p flowing down an inclined conveyer belt. The conveyer belt is moving with velocity UBelt as indicated in figure 1. Assume the flow is steady and under the influence of (a) Find the profile for velocity v (in the y direction). (b) Find the profile for pressure distribution p. Take the atmospheric pressure to be Pa. (c) Find the profile for velocity u (in the x direction). Make sure to state any assumptions you make. g y y = h Zoomed view y=0 U Belt O p(x,y,t) v(x, y, t) H UBelt u(x, y, t) 0 Figure 3: Problem setup for Problem 3 and its zoomed image.