Often when salty sea water meets a source of fresh water they do not readily mix. The salt water is slightly more dense than fresh water and thus sinks below the fresh water. A cork of density pe is tied to the sea floor at a depth ds below the divide between the salty and fresh water layers. This divide is located a depth dp below the surface. Let the density of the salt and fresh water be ps and pr, respectively. Use gauge pressure throughout. Fresh wates PF Salt water Ps pe Figure 2: Setup for question 2 (a) What is the pressure at the location of the cork? (b) What is the tension in the rope? (c) A diver decides to cut the rope tethering the cork. How long does it take for the cork to reach the surface?

Often when salty sea water meets a source of fresh water they do not readily mix. The salt water is slightly more dense than fresh water and thus sinks below the fresh water. A cork of density pe is tied to the sea floor at a depth ds below the divide between the salty and fresh water layers. This divide is located a depth dp below the surface. Let the density of the salt and fresh water be ps and pr, respectively. Use gauge pressure throughout. Fresh wates PF Salt water Ps pe Figure 2: Setup for question 2 (a) What is the pressure at the location of the cork? (b) What is the tension in the rope? (c) A diver decides to cut the rope tethering the cork. How long does it take for the cork to reach the surface?