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The pressure at the bottom of a swimming pool depends on all of the following except:
the volume of water in the pool
When an object floats in water, three-fourths of its volume is beneath the surface. What is the density of the object?
750 kg/m3
If a piece of steel and a piece of aluminum of the same volume are dropped into water, what can be said about the buoyant force acting on each of them?
The same on both
Find the apparent weight of an object fully submerged in water if its volume is 2.00 m3 and its density is 4000 kg/m3.
58800 N
An empty scuba tank and a full scuba tank are at rest at the same depth. Which tank has greater buoyant force acting on it?
the same on both
A person weighing 900 N is standing on snowshoes. Each snowshoe has an area of 2500 cm2. Find the pressure on the snow.
1800 Pa
The buoyant force on an object submerged in fluid does not depend on_________.
the density of the object
The operation of a hydraulic jack is based on _______.
Pascal's principle
The tires of a car are inflated to a gauge pressure of 2.0x105 PA. If the area of contact of each tire with the ground is 0.024 m2, what is the weight of the car?
19200 N
An object floats in water with two-thirds of its volume submerged. What is the object's density?
667 kg/m3
What fraction of a piece of wood (density is 0.8x103 kg/m3) will be beneath the surface when it floats in water?
80%
What volume of fresh water must a ship with a mass of 10 million kg displace in order to float?
104 m3
A rectangular 4m x 10m swimming pool is filled to a depth of 5 m. What is the force on the bottom of the pool?
2x106N
The density of mercury is 1.36x104 kg/m3. Find the mass of a 4.00x10-4 m3sample of mercury.
5.44 kg
A hollow rectangular box is filled with the liquid and can be placed in any of three orientations as shown. In which orientation will the fluid pressure at the bottom of the box be greatest, and why?
Orientation X, because pressure at the bottom of a fluid is greater when the vertical height of the fluid is greater
The equation of continuity is based on the conservation of ______________.
mass
Water flows through a horizontal tapered pipe. At the wide end its speed is 4.00 m/s and at the narrow end it is 5.00 m/s. The pressure in the wide pipe is 2.50x105 Pa. What is the pressure in the narrow pipe?
2.45x105 Pa
Blood flowing through an artery reaches a place where the artery is narrowed. The speed of the blood in the narrow section __________.
increases
The radius of a pipe carrying water increases by a factor of two. As a result, the speed of the water in the pipe ___________________.
decreases by a factor of four
Where is the air pressure the greatest around the airplane wings?
Below
Water at a pressure of 3.5 x 105 Pa is flowing at 5.0 m/s in a pipe which narrows to 1/3 its former area. What is the pressure and velocity of the water in the narrow section?
2.5 x 105 Pa, 15 m/s
Water flows under pressure from one pipe into a second pipe having half the diameter. The volume flow rate in the narrow pipe is ________ that in the wide pipe, and the speed of the water in the narrow pipe is _______ that in the wide pipe.
equal to, 4 times
Water flows through a pipe of diameter 8.0 cm with a speed of 10.0 m/s. It then enters a smaller pipe of diameter 3.0 cm. What is the speed of the water as it flows through the smaller pipe?
71 m/s
Water flowing at 4 m/s in a horizontal pipe enters a section with a radius twice as large. What is the speed of the water in the wider part of the pipe?
1 m/s
The pressure differential across an airplane wing cross section is explained by:
Bernoulli's equation
According to __________ Principle, when the velocity of a fluid is high, the _______ is low.
Bernoulli's, pressure
Oil of a density of 925 kg/m3 flowing through a pipeline at a constant speed encounters a vertical bend in the pipe, raising it 4.0 m. What is the difference in pressure in the oil before and after the rise?
-3.6 x 104 Pa
The density of the liquid flowing through a horizontal pipe is 1500 kg/m3. The speed of the fluid at point A is 5.5 m/s while at point B it is 8.0 m/s. What is the difference in pressure, PB - PA, between points B and A?
-2.5 x 104 Pa
The figure shows pipe 1 of cross-sectional area A1 and pipe 2 of cross-sectional area A2 which merge into pipe 3 of cross-sectional area A3. The water in pipes 1 and 2 flows with speeds v1 and v2 respectively. What is the speed of the water and pipe 3?
(A1V1 + A2V2)/(A3)
Water of density 1000 kg/m³ flows at a speed of 3.0 m/s through a section of pipe of radius 0.040 m. The pipe bends upward to 0.25 m above its original height and tapers to a radius of 0.020 m, as shown in the figure above. If the water pressure is 1.50×105 Pa in the lower part of the pipe, the water pressure in the upper part of the pipe is most nearly:
0.80×105 Pa