PROBLEMS TO BE WRITTEN UP AND TURNED IN AT RECITATION This problem is due at your first recitation meeting after Mon 01/31. The problem should be written on a single sheet of paper (front and back), or if multiple sheets are used, staple them together. For full credit, the work must be neat, with clearly labeled diagrams. The labels must be in BOTH words and symbols. For each part, you must BRIEFLY explain your strategy in words, as well as neatly showing your physics equations and math, with proper units. Halliday and Resnick - 2nd Edition - CHAPTER 25 (10 points) 1. Water in an irrigation ditch of width w = 3.22 m and depth d = 1.04 m flows with a speed of 0.207 m/s. The mass flux of the flowing water through an imaginary surface is the product of the water's density (1000 kg/m^3) and its volume flux through that surface. Find the mass flux through the following imaginary surfaces: (a) a surface of area wd, entirely in the water, perpendicular to the flow; (b) a surface with area 3wd/2, of which wd is in the water, perpendicular to the flow; (c) a surface of area wd/2, entirely in the water, perpendicular to the flow; (d) a surface of area wd, half in the water and half out, perpendicular to the flow; (e) a surface of area wd, entirely in the water, with its normal 34 degrees from the direction of flow.