A cylindrical storage tank has a cross sectional area A1=1.5 m². The tank is set up vertically on the ground and filled with V=7.5 m³ of water. There is a valve at the bottom of the tank with an internal cross sectional area of 1.5 cm². What fraction of the total volume will be drained in the first 50 minutes after the valve is opened?
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- Ella’s boyfriend would like to make a very romantic wedding proposal. He decides to propose in a hot air balloon. He and Ella go to the spot where the hot air balloon will lift off the ground. Ella, who has taken physics, decides to do a few calculations to make sure they will be safe. The average density of the heated gas that will go in the hot air balloon is 0.96 kg/m3 . The basket and the propane tank weigh 1800N. The balloon fabric weighs 800N. Ella has a mass of 50kg and her boyfriend ha a mass of 65kg. The density of air is 1.23kg/m3 . a) What must be the minimum volume of the balloon in order to lift Ella and her boyfriend off the ground? b) If the volume of the balloon is 3 times what you found in part a, what is the net force on the basket that Ella and her boyfriend are in ?The four tires of an automobile are inflated to a gauge pressure of 2.3 x 10° Pa. Each tire has an area of 0.025 m2 in contact with the ground. Determine the weight of the automobile.A pressurized tank supplies water to a hose. The hose rises h=1.3 m above the tank before spraying water a speed of 6.0 m/s. What is the pressure in the tank? (Patm= 1.013x105)
- At a given instant, the blood pressure in the heart is 1.1 x 104 Pa. If an artery in the brain is 0.38 m above the heart, what is the pressure in the artery? Ignore any pressure changes due to blood flow. Number Type your answer here Units Choose your answer hereA tall graduated cylinder contains 7 cm of oil (density of 825 kg/m3kg/m3) on top of 20 cm of water (density of 1000 kg/m3kg/m3). The cylinder is open to the air. What is the pressure in the water, 3 cm above the bottom of the cylinder? (in Pa) 1.0323×105 1.0335×105 1.0353×105 1.0294×105 1.0157×105In the process of loading a ship, a shipping container gets dropped into the water and sinks to the bottom of the harbor. Salvage experts plan to recover the container by attaching a spherical balloon to the container and inflating it with air pumped down from the surface. The dimensions of the container are 5.00 m long, 2.35 m wide, and 3.20 m high. As the crew pumps air into the balloon, its spherical shape increases and when the radius is 1.10 m, the shipping container just begins to rise toward the surface. Determine the mass of the container. You may ignore the weight of the balloon and the air in the balloon. The density of seawater is 1027 kg/m³. 434.54 X How does the weight of the container compare to the weight of the water displaced by the container and balloon when the container starts to rise? See if you can express the weight of the water displaced in terms of the density of the seawater and the dimensions of the container and balloon. kg Additional Materials
- At a given instant, the blood pressure in the heart is 1.4 x 104 Pa. If an artery in the brain is 0.37 m above the heart, what is the pressure in the artery? Ignore any pressure changes due to blood flow.In a hydraulic garage lift, the small piston has a radius of 4.0 cm and the large piston has a radius of 20 cm. What force must be applied on the small piston in order to lift a car weighing 20,000 N on the large piston? Assume the pistons each have negligible weight. 0.80 × 103 N 6.35× 103 N. 2.45 × 103 N 1.25 × 103 NA lost shipping container is found resting on the ocean floor and completely submerged. The container is 6.4 m long, 2.4 m wide, and 2.9 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 1.3 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. Number Units
- A box has a length of 1.3 cm, a width of 6.4 cm, and a height of 3.2 cm. Its mass is 9.8 kg. The box sits at rest on a horizontal floor. What is the pressure of the box on the floor?A fluid with density 1200 kg/m flows through this pipe. As the first location, A, the fluid travels at 7.5 m/s and at the second location, B, the fluid travels at 11 m/s. What is the difference in pressure between the two points? O-1.9 x 10 Pa +3.8 x 103 Pa -2.5 x 104 Pa -3.9 x 10 Pa O +5.0 x 104 PaThe pulmonary artery, which connects the heart to the lungs, has an inner radius of 2.60 mm and a length of 8.40 cm. If the drop in pressure between the heart and the lungs is 4.0 hPa. a) What is the average speed of the blood in the pulmonary artery?