1. According to Pascal’s Principle, how is applied pressure transmitted to every point in a fluid and to the walls of the container holding the fluid? a. Pressure decreases toward the container walls. b. Pressure increases toward the container walls. c. Pressure is equal and uniform throughout the fluid. d. Pressure depends on the shape of the container. 2. An area of 1.0 m2 and an area of 1.0 cm2 have the same atmospheric pressure applied to them. Which of the following statements is correct? a. The atmospheric force is greater on the 1.0 m2 area. b. The atmospheric force is equal for both areas. c. The atmospheric force is less on the 1.0 m2 area. d. Atmospheric force does not depend on pressure or area. 3. A force of 580 N is applied on a 2.0 m2 piston of a hydraulic lift. If a crate weighing 2900 N is raised, what is the area of the piston beneath the crate? a. 1.0 x 102 m2 b. 2.5 m2 c. 0.40 m d. 1.0 x 10 1m 2 1 4. The external pressure crushes a closed vessel when it reaches a depth of 30.0 m in water (ρw = 1.00 g/cm3). Which of the following statements is true if this same container is immersed in mercury (ρHg = 13.6 g/cm3)? a. It will be crushed at a greater depth in mercury than in water. b. It will be crushed at the same depth in mercury as in water. c. It will be crushed at a shallower depth in mercury than in water. d. It will not be crushed at any depth. 5. The net vertical force due to pressure between two depths within a fluid equals the weight of the fluid between the two depths. This is another way of stating which of the following? a. Archimedes’ principle b. Newton’s second law c. Pascal’s principle d. the definition of density 2 6. The surface of Lake Tahoe, California, lies 1899 m above sea level. At this elevation, the average atmospheric pressure is about 9.0 × 104 Pa. At the deepest part of the lake, the pressure is 5.00 × 106 Pa. If the density of the water in Lake Tahoe is 1.0 × 103 kg/m3, what is the maximum depth of the lake? 7. A penguin can endure pressures as great as 3.65 × 106 Pa. What is the maximum depth to which a penguin can dive in sea water (ρwater = 1.025 g/cm3)? 3 8. The pressure that can exist in the interior of a star due to the weight of the outer layers of hot gas is typically several hundred billion times greater than the pressure exerted on Earth’s surface by Earth’s atmosphere. Suppose a pressure equal to that estimated for the sun’s interior (2.0 × 1016 Pa) acts on a spherical surface within a star. If a force of 1.02 × 1031 N produces this pressure, what is the area of the surface? What is the sphere’s radius r? (Recall that a sphere’s surface area equals 4πr2.) 4