2) Three liquids that will not mix are poured into a cylindrical container. The volumes and densities of the liquids are 0.50 L, 2.6 g/cm3; 0.25 L, 1.0 g/cm3; and 0.40 L, 0.80 g/cm3. What is the force on the bottom of the container due to these liquids if we ignore atmospheric pressure? One liter = 1 L = 1000 cm3. (18 N)
3) Calculate the difference in blood pressure between the brain and the foot in a person of height 1.83-m. The density of blood is 1.06 x 103 kg/m3. (19.0 kPa)
4) Crew members attempt to escape from a damaged submarine 100 m below the surface of the ocean. What force must they apply to a pop out hatch, which is 1.2 m by 0.60 m to push it out at that depth? Assume that the density of sea water is 1025 kg/m3. (7.2 x 105 N)
5) To suck lemonade of density 1000 kg/m3 up a straw to a maximum height of 4.0 cm, what minimum gauge pressure (in atmospheres) must you produce in your lungs? (-3.9 x 10-3 atm)
6) A boat floating in fresh water displaces water weighing 35.6 kN. (a) What is the weight of the water that this boat would displace if it were floating in salt water with a density of 1.10 x 103 kg/m3? (b) Would the volume of the displaced water change? If so by how much?(39.1 kN, 3.5 kN)
7) A block of wood floats in fresh water with two-thirds of its volume submerged. In oil, the block floats with 0.90 of its volume submerged. Find the density of the wood and of the oil. (670 kg/m3; 740 kg/m3)
8) A garden hose with an internal diameter of 1.9 cm is connected to
a (stationary) lawn sprinkler that consists merely of an enclosure with
24 holes, each 0.13 cm in diameter. If the water in the hose has a speed
of 0.91 m/s, at what speed does it leave the sprinkler holes? (8.1
m/s)