You fill a vertical glass tube to a depth of 15.0 cm with freshwater. You then pour on top of the water an additional 15.0 cm of gasoline (density 7.40 * 10^2 kg/m3), which does not mix with water. The upper surface of the gasoline is exposed to the air. Find the gauge pressure (a) at the interface between the gasoline and water and (b) at the bottom of the tube.
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You fill a vertical glass tube to a depth of 15.0 cm with freshwater.
You then pour on top of the water an additional 15.0 cm of gasoline
(density 7.40 * 10^2 kg/m3), which does not mix with water. The upper surface
of the gasoline is exposed to the air. Find the gauge pressure (a) at the
interface between the gasoline and water and (b) at the bottom of the tube.
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- (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.) ____NCalculate the absolute pressure at the bottom of a fresh-water lake at a depth of 31.2 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. 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 31.0 cm?A person is diving in a lake in the depth of h = 10.5 m. The density of the water is ρ = 1.0 x103 kg/m3. The pressure of the atmosphere is P0 = 1.0 x 105 Pa. The surface area of the top of the person's head is A = 0.0335 m2. a. Express the absolute pressure at the depth of h, P, in terms of P0, ρ, and h. b. Calculate the numerical value of P in Pa. c. Express the magnitude of the force exerted by water on the top of the person's head F at the depth h in terms of P and A. d. Calculate the numerical value of F in N.
- A window on a plane has a radius of 0.33 m. The plane crashes at a depth that the water pressure is 4.33 × 105 Pa, and the aeroplanes air is at atmospheric pressure 1.01 105 Pa. What force is surrounding the window keep it in place in newtons?A symmetric U-tube is open to the atmosphere at both ends. Water with a density 1x10^3 kg/m^3 is poured into a tube until the water rises halfway along the straight sides. Then some unknown liquid with a density of 8.5 x 10^2 kg/m^3 is poured into one end. This causes the water surface on that side to go down by 9mm. Calculate the height of the unknown liquid in the tube, h.(a) A submersible vehicle is in a lake at a depth of 32.4 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. (b) The submersible vehicle has a circular window with a diameter of 40.0 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.)
- A container with water is pressurized and attached to a hose. The pressure inside the container, P, is set so that when the end of the tube is 4.5 meters above the water level in the container is ejected at 3.5 m/s. The reservoir in the container is large enough that you can ignore the change in height of the water in the container. What is the pressure P in atmospheres?(a) A submersible vehicle is in a lake at a depth of 26.6 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 40.0 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.) ____ NA mosquito is sinking in a pool of sap with density 1040 kg/m3. The mosquito will be crushed when the absolute pressure on it reaches 105 kPa. Assuming that atmospheric pressure is 101 kPa, what depth will the mosquito be at when it is crushed? h = unit | m
- (a) Calculate the absolute pressure at an ocean depth of 120 m. Assume the density of sea water is 1 021 kg/m³ and the air above exerts a pressure of 101.3 kPa. Pa (b) At this depth, what is the buoyant force on a spherical submarine having a diameter of 5.20 m? NA submersible vehicle is in a lake at a depth of 32.0 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 32.0 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.)(a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 24.4 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. Pa(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 42.0 cm? N