A spherical submersible 2.13 m in radius, armed with multiple cameras, descends under water in a region of the Atlantic Ocean known for shipwrecks and finds its first shipwreck at a depth of 2.48 ✕ 103 m. Seawater has density 1.025 ✕ 103 kg/m3, and the air pressure at the ocean's surface is 1.013 ✕ 105 Pa. (a) What is the absolute pressure at the depth of the shipwreck? Pa (b) What is the buoyant force on the submersible at the depth of the shipwreck? (Give the magnitude.) N

You come across an open container that is filled with two liquids. Since the two liquids have different densities, there is a distinct separation between them. Water, which has a density of ?w=1.00×103 kg/m3, fills the lower portion of the container to a depth of 0.215 m. The fluid that is floating on top of the water is 0.307 m deep. If the absolute pressure on the bottom of the container is 1.049×105 Pa, what is the density, ?l, of the unknown fluid? The acceleration due to gravity is ?=9.81 m/s2 and atmospheric pressure is ?0=1.013×105 Pa.

The bottom of a rectangular swimming pool is 15 m × 25 m. If the atmospheric pressure above the swimming pool changes from 738 to 768 mm of mercury, determine the amount by which the force on the bottom of the pool increases? (Assume the density of mercury is 13.6 ✕ 103 kg/m3.)

A submersible vehicle is in a lake at a depth of 29.6 m. What is the absolute pressure (in Pa) at this depth? The density of the water in the lake is 1.00 ✕ 103 kg/m3, and the air above is at a pressure of 101.3 kPa. Pa (b) The submersible vehicle has a circular window with a diameter of 42.0 cm. What force (in N) is exerted by the water on the window of the vehicle at the depth from part (a)? (Enter the magnitude.)       a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 26.6 m. Assume the density of the water is 1.00 ✕ 103 kg/m3 and the air above is at a pressure of 101.3 kPa. Pa (b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 29.0 cm?         Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional area A1 of 10.8 cm2, and the right arm has a cross-sectional area A2 of 5.50 cm2. One hundred grams of water…