QI(a) Consider the pressure and force acting on the dam retaining a reservoir of water (Figure Q1(a)). Suppose the dam is 500-m wide and the water is 80.0-m deep at the dam, as illustrated below. ) Which of the following substances are fluids at room temperature and atmospheric pressure: air, mercury, water, glass? (ii) Find the average pressure on the dam due to the water? (iii) Calculate the force exerted against the dam. FIGURE Q1(a) 010)
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- (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?The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y = 0.8x2 and below the line 140. (Here, distances are measured in meters.) The y water level is 26 meters below the top of the dam. Find the force (in Newtons) exerted on the dam by kg water pressure. (Water has a density of 1000 m , and the acceleration of gravity is 9.8 :) sec2 -> DII * #3 & 2 3. 4. 6. 7 8. 9. WWater is supplied to an office building 30.0 m high through a pipe at ground level. (a) Find the minimum pressure in the supply pipe so that water can reach the top floor of the building. (b)Suppose the pressure in the supply pipe is designed so that water can flow out through a much smaller pipe on the top floor at a speed of 5.0 m/s. Find the pressure in the larger pipe on the ground floor.
- Water flows from a fire truck through a hose that is 11.7 cm in diameter and has a nozzle that is 2.0 cm in diameter. The firemen stand on a hill 3.0 m above the level of the truck. When the water leaves the nozzle, it has a speed of 20.0 m/s. 1) Determine the minimum gauge pressure in the truck's water tank. (Express your answer to two significant figures.) Pa SubmitA sealed tank containing seawater to a height of 12.0 m also contains air above the water at a gauge pressure of 3.05 atm. Water flows out from the bottom through a small hole. Calculate the speed with which the water comes out of the tank. Express your answer in meters per second.A liquid-filled tube called a manometer can be used to measure the pressure inside a container by comparing it to the atmospheric pressure and measuring the height of the liquid. Such a device (filled with water) is shown in the figure, measuring the pressure inside a balloon filled with an unknown gas. The water level on the side of the manometer which is open to the air is 22.3 cm higher than on the side connected to the balloon. a) Find the gauge pressure in the balloon, in units of Pa. Recall the density of water is 1000 kg/m3. b) Find the absolute pressure in the balloon, in units of Pa.
- (a) If the density of an object is exactly equal to the density of a fluid, the object will (1) float, (2) sink, (3) stay at any height in the fluid, as long as it is totally immersed. (b) A cube 8.5 cm on each side has a mass of 0.65 kg. Will the cube float or sink in water? Prove your answer.Suppose you have a 8.8 cm diameter fire hose with a 3.6 cm diameter nozzle. a) Calculate the pressure drop due to the Bernoulli effect as water enters the nozzle from the hose at the rate of 40.0 L/s. Take 1.00 × 103 kg/m3 for the density of the water. b) To what maximum height, in meters, above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.A negative gauge pressure of 20.5 atm can sometimes be achieved with the device in the figure before the water separates. To what height, in meters, could such a negative gauge pressure raise water?
- Please asapA pumping station uses a Venturi tube to measure the flow rate of gasoline. The density of the gasoline is p = 7.40 x 102 kg/m3, the inlet and outlet tubes, respectively, have a radius of 2.80 cm and 1.40 cm, and the difference in input and output pressure is P, - P, = 1.20 kPa. (a) Find the speed (in m/s) of the gasoline as it leaves the hose. m/s (b) Find the fluid flow rate in cubic meters per second. m3/s