3. Figure shows a stream of water flowing through a circular hole at depth y. The diameters of the cylindrical container and the hole are √2D and D, respectively. We define v and V by the speeds of the water flow on the water surface and that at the hole, respectively. We assume that the water is an ideal fluid. The density of water is p and the gravitational acceleration is g. The atmospheric pressure is po everywhere in the laboratory. √2D Ро す A y υν V B (5) Let T be the time for draining water completely from the initial level y = yo to y = 0. Evaluate T in terms of g and yo. (6) Let M be the mass of the water initially contained in the tank with y = yo. Let K be the sum of the kinetic energy of the water flowing out of the hole from t = 0 to T. Evaluate K in terms of M, g, and Yo.

3. Figure shows a stream of water flowing through a circular hole at depth y. The diameters of the cylindrical container and the hole are √2D and D, respectively. We define v and V by the speeds of the water flow on the water surface and that at the hole, respectively. We assume that the water is an ideal fluid. The density of water is p and the gravitational acceleration is g. The atmospheric pressure is po everywhere in the laboratory. √2D Ро す A y υν V B (5) Let T be the time for draining water completely from the initial level y = yo to y = 0. Evaluate T in terms of g and yo. (6) Let M be the mass of the water initially contained in the tank with y = yo. Let K be the sum of the kinetic energy of the water flowing out of the hole from t = 0 to T. Evaluate K in terms of M, g, and Yo.