45. ssm An 81-kg person puts on a life jacket, jumps into the water, and floats. The jacket has a volume of 3.1 × 10-² m² and is completely sub- merged under the water. The volume of the person's body that is under water is 6.2 x 10-²m³. What is the density of the life jacket?

UU 2. Water is poured into a U-tube as shown in the A1 Ag Oil A1 A2 figure. The left arm of the tube has cross-sectional area A1 of 10.0 cm2, and the right arm has a cross- sectional area A2 of 5.00 cm2. 150 grams of oil are then poured into the right arm as shown. The two H. liquids do not mix. [Poit = 750 [Answer in kg m 3 significant figures] Water a) Determine the length of the oil column in the right arm of the U-tube. b) Determine the height (H) of the water column in the left arm above the water surface in the right arm?

A lost shipping container is found resting on the ocean floor and completely submerged. The container is 5.9 m long, 2.8 m wide, and 2.3 m high. Salvage experts attach a spherical balloon to the top of the container and inflate it with air pumped down from the surface. When the balloon's radius is 1.7 m, the shipping container just begins to rise towards the surface. What is the mass of the container? Ignore the mass of the balloon and the air within it. Do not neglect the buoyant force exerted on the shipping container by the water. The density of seawater is 1025 kg/m3.

An airplane flies on a level path. There is a pressure difference of 520 Pa between the lower and upper surfaces of the wings. The area of each wing surface is about 190 m2. The air moves below the wings at a speed of 80.4 m/s. A- Estimate the weight of the plane. N B- Estimate the air speed above the wings. m/s

Bowling balls are roughly the same size but come in a variety of weights. Given that the official radius a bowling ball should have is roughly 0.110 m, calculate the weight of the heaviest bowling ball that will float in a fluid of density 1.000 x 10° kg/m³. weight: N

**73. ssm A solid brass sphere is subjected to a pressure of 1.0 × 10° Pa due to the earth's atmosphere. On Venus the pressure due to the atmo- sphere is 9.0 X 10° Pa. By what fraction Ar/r, (including the algebraic sign) does the radius of the sphere change when it is exposed to the Venu- sian atmosphere? Assume that the change in radius is very small relative to the initial radius.

Three liquids that will not mix are poured into a cylindrical container. The volumes and densities of the liquids are 0.670 L, 2.77 g/cm³; 0.356 L, 1.20 g/cm³; and 0.524 L, 0.653 g/cm³. What is the force on the bottom of the container due to these liquids? One liter = 1 L = 1000 cm³. (Ignore the contribution due to the atmosphere.) Number i Units