Exam 13: Fluids

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When Bernoulli's equation is written in the form P/ ρ\rho +  When Bernoulli's equation is written in the form P/ \rho  +   v<sup>2</sup> + U = C, The constant C represents the v2 + U = C, The constant C represents the

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Two pistons of a hydraulic lift have radii of 2.67 cm and 20.0 cm. The downward force on the 2.67-cm piston that is required to lift a mass of 2000 kg supported by the 20-cm piston is

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Your blood pressure is reported as 50 mm of Hg. The density of mercury is 13.6 g/cm3. Your pressure is equivalent to

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A raft of density 700 kg/m3 has a surface area of 7.0 m2 and a volume of 0.7 m3. What depth does it sink into water of density 1000 kg/m3?

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Which curve best represents the variation in pressure with depth in a fluid, assuming constant density? Which curve best represents the variation in pressure with depth in a fluid, assuming constant density?

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A metal block suspended from a spring balance is submerged in water. You observe that the block displaces 55 cm3 of water and that the balance reads 4.3 N. What is the density of the block?

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Use the figure to the right to answer the next problems. A beaker is filled with water. A small plastic container contains a solid bar of aluminum, which has a mass of 40 g, and is placed on the water so that it floats. The water level reads 60 ml. Next, the bar of aluminum is taken out of the container and placed in the water so that it sinks to the bottom. Use the figure to the right to answer the next problems. A beaker is filled with water. A small plastic container contains a solid bar of aluminum, which has a mass of 40 g, and is placed on the water so that it floats. The water level reads 60 ml. Next, the bar of aluminum is taken out of the container and placed in the water so that it sinks to the bottom.   -By how much does the water level change? (density of Al is 2.7 g/cm<sup>3</sup>) -By how much does the water level change? (density of Al is 2.7 g/cm3)

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A stone of volume 1.42 ×\times 10-2 m3 lies at the bottom of a freshwater lake. If the rock's specific gravity is 3.5, the work required to lift it 1 m through the water is approximately

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The U-tube in the figure is sealed at both ends. It contains a gas in A, another gas in B, and mercury in C. The heights of the mercury in the two arms are as shown. The density of mercury is 13.6 g/cm3. If the pressure in A is 1 ×\times 104 dyn/cm2, the pressure in B is  The U-tube in the figure is sealed at both ends. It contains a gas in A, another gas in B, and mercury in C. The heights of the mercury in the two arms are as shown. The density of mercury is 13.6 g/cm<sup>3</sup>. If the pressure in A is 1  \times  10<sup>4</sup> dyn/cm<sup>2</sup>, the pressure in B is

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Pressure as a function of depth for a certain liquid is plotted on the graph. What is the density of the liquid? Pressure as a function of depth for a certain liquid is plotted on the graph. What is the density of the liquid?

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For the streamlined flow of a viscous liquid, such as water, in a capillary tube, which of the following is correct?

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If a column of liquid 52 cm high supports a column of mercury ( ρ\rho = 13.6 g/cm3) 10 cm high, the density of the liquid is

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A pipe of 2.54 cm inside diameter has a constriction in which the inside diameter is 1.27 cm. If water is flowing through this pipe with a velocity of 1.22 m/s in the main section, the velocity in the constricted section is

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You are floating in a boat in a swimming pool. There are some large stones, with a density of 2.5 g/cm3, in the boat. You throw the stones out of the boat and they sink to the bottom of the pool. The water level h, measured vertically at the end of the pool __________ as the stones are thrown out.

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Water from a tap is flowing at a uniform rate of 24 cm3/s into a cylindrical container. An exit tube is mounted on the side of the container at height h/2 from the base. The height h of the water remains constant. The volume flow at which the water leaves the container is

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A fish model that is 5.08 cm in diameter is placed in a pipe 25.4 cm in diameter and aligned along the axis of the pipe. If the water must flow past the fish at 2.44 m/s, the water in the unconstricted part of the pipe must flow at

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A block of ice 30.5 cm thick floating in fresh water just supports a man weighing 801 N. If the specific gravity of ice is 0.917, the smallest area the block can have is

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Two objects with different volumes have the same apparent weight when submerged in water. If they are placed in a vacuum,

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Is it possible to float an object that is less dense that water when the amount of the water is less than the weight of the object? Is it possible to float an object that is less dense that water when the amount of the water is less than the weight of the object?

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A block of wood of length L = 21.0 cm, width w = 9.53 cm, and height h = 5.92 cm is just barely immersed in water by placing a mass m on the top of the block. The density of the wood is ρ\rho = 0.390 g/cm3. The value of m is

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