In a classroom demonstration, the pressure inside a soft drink can is suddenly reduced to essentially zero. Assuming the can to be a cylinder with a height of 12 cm and a diameter of 6.5 cm, find the net inward force exerted on the vertical sides of the can due to atmospheric pressure.
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- In 1656, the Burgmeister (mayor) of the town of Magdeburg, Germany, Otto Von Guericke, carried out a dramatic demonstration of the effect resulting from evacuating air from a container. It is the basis for this problem. Two steel hemispheres of radius 0.350 m (1.15 feet) with a rubber seal in between are placed Fogetner and air pumped out so that the pressure inside is 11.00 millibar. The atmospheric pressure outside is 970 millibar. Calculate the force required'to pull the two hemispheres apart. [Note: 1 millibar=100 N/m2. One atmosphere is 1013 millibar = 1.013×105 N/m² ] Submit Answer Tries 0/12 Two equal teams of horses, are attached to the hemispheres to pull it apart. If each horse can pull with a force of 1420N (i.e., about 319 lbs), what is the minimum number of horses required? Submit Answer Tries 0/12 Post Discussion Send Feedbacka cube of edge length L = 0.600 m and mass 450 kg is suspended by a rope in an open tank of liquid of density 1030 kg/m3. Find (a) the magnitude of the total downward force on the top of the cube from the liquid and the atmosphere, assuming atmospheric pressure is 1.00 atm, (b) the magnitude of the total upward force on the bottom of the cube, and (c) the tension in the rope. (d) Calculate the magnitude of the buoyant force on the cube using Archimedes’ principle.What relation exists among all these quantities?A particular table has three identical legs, and the surface area at the bottom of each leg in contact with the floor is 4.00 x 10m?. Assume the legs are uniformly spaced around the table, and the mass of the table is uniformly distributed with respect to the legs. The total mass of the table is 32.7 kg. What is the pressure (in Pa) on the bottom of each table leg (due to the floor alone, ignoring atmospheric pressure)? Pa Need Help? Read it
- The maximum depth recorded for a deep-sea dive is 308 m. Assuming that (i) the density of seawater is constant at 1.03 x 103 kg/m3 and (ii) the atmospheric pressure is 101 kPa, calculate the gauge pressure at this depth (in Pa and kPa).The maximum depth recorded for a deep-sea dive is 308 m. Assuming that (i) the density of seawater is constant at 1.03 x 103 kg/m3 and (ii) the atmospheric pressure is 101 kPa, calculate the gauge pressure at this depth (in Pa and kPa).(a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 32.6 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.(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 33.0 cm?
- Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 31.6 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. (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 32.0 cm?A small jet airplane has a total wing area of 72.5 m2 and a mass of 8.03 104 kg. (a) If this jet is in horizontal flight, determine the pressure difference, in Pa, between the lower and upper surfaces of the wings. Pa(b) When the speed of air traveling over the wing is 227 m/s, determine the speed of air, in m/s, under the wing. Use 1.29 kg/m3 as the density of air.Humans evolved in Earth's atmosphere, therefore the pressures interior to the body are relatively close to atmospheric pressure. Because the differences between internal body pressures and atmospheric pressure are so small, individuals have a difficult time gauging the magnitude of atmospheric pressure. Suppose an individual is lying on his stomach with sheets of paper stacked on his back. If each sheet of paper has a mass of 0.00380 kg and is the standard letter size of 8.5 in by 11 in (0.216 m by 0.279 m), how many sheets must be stacked to produce pressure on his back equal to atmospheric pressure (roughly 101325 Pa)? sheets of paper required:
- A meat baster consists of a squeeze bulb attached to a plastic tube. When the bulb is squeezed and released, with the open end of the tube under the surface of the basting sauce, the sauce rises in the tube to a distance h, as the drawing shows. Using 1.013 × 105 Pa for the atmospheric pressure and 1340 kg/m³ for the density of the sauce, find the absolute pressure PB in the bulb when the distance h is (a) 0.16 m and (b) 0.08 m. (a) PB = (b) PB = i <(a) A submersible vehicle is in a lake at a depth of 22.2 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 33.0 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.) ____NIn the figure, a cube of edge length L = 0.633 m and mass 1040 kg is suspended by a rope in an open tank of liquid of density 1.03E+3 kg/m³. Find (a) the magnitude of the total downward force on the top of the cube from the liquid and the atmosphere, assuming atmospheric pressure is 1.00 atm, (b) the magnitude of the total upward force on the bottom of the cube, and (c) the tension in the rope. (d) Calculate the magnitude of the buoyant force on the cube using Archimede's principle. (a) Number 18340.3 (b) Number i 3992.2 (c) Number i 14348.1 (d) Number i 3992.2 Units L N Units N Units Units N N L/2 ◄► ◄►