Answer Happy

Question 5 Suppose a cylindrical cup of height L and cross-sectional area A is filled with air at atmospheric pressure. The cup is inverted and slowly pushed into a tank of water such that the lip of the cup is now a distance d below the surface of the water. You may assume that the temperature of the air is the same as that of the water and that no temperatures change during the process of slowly pushing the cup into the water. Call h the height of air in the cup after the inverted cup is submerged. a. What must h be when d = 0? [1] b. Find an expression for h in terms of L, d, p and g, where p is the density of water. If you find multiple solutions for h, which is the physical one? Why? [13]