Exam 11: Fluids

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A column of oil of height 70.0 cm supports a column of an unknown liquid as suggested in the figure (not drawn to scale). Assume that both liquids are at rest and that the density of the oil is 840 kg/m3. Determine the density of the unknown liquid. A column of oil of height 70.0 cm supports a column of an unknown liquid as suggested in the figure (not drawn to scale). Assume that both liquids are at rest and that the density of the oil is 840 kg/m<sup>3</sup>. Determine the density of the unknown liquid.

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When a block of volume 1.00 × 10-3 m3 is hung from a spring scale as shown in Figure A, the scale reads 10.0 N. When the same block is then placed in an unknown liquid, it floats with 2/3 of its volume submerged as suggested in Figure B. The density of water is 1.00 × 103 kg/m3. When a block of volume 1.00 × 10<sup>-</sup><sup>3</sup> m<sup>3</sup> is hung from a spring scale as shown in Figure A, the scale reads 10.0 N. When the same block is then placed in an unknown liquid, it floats with 2/3 of its volume submerged as suggested in Figure B. The density of water is 1.00 × 10<sup>3</sup> kg/m<sup>3</sup>.   -Determine the density of the unknown liquid. -Determine the density of the unknown liquid.

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Oil ( ρ\rho = 925 kg/m3) is flowing through a pipeline at a constant speed when it encounters a vertical bend in the pipe raising it 4.0 m. The cross sectional area of the pipe does not change. What is the difference in pressure (PB - PA) in the portions of the pipe before and after the rise?  Oil ( \rho = 925 kg/m<sup>3</sup>) is flowing through a pipeline at a constant speed when it encounters a vertical bend in the pipe raising it 4.0 m. The cross sectional area of the pipe does not change. What is the difference in pressure (P<sub>B</sub><sub> </sub>- P<sub>A</sub>) in the portions of the pipe before and after the rise?

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An ice cube, ρ\rho = 917 kg/m3, is sliding down a frictionless incline as shown in the drawing. The sides of the cube each have a length of 0.75 m. What pressure does the cube exert on the incline?  An ice cube,  \rho  = 917 kg/m<sup>3</sup>, is sliding down a frictionless incline as shown in the drawing. The sides of the cube each have a length of 0.75 m. What pressure does the cube exert on the incline?

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A woman is enjoying a tropical drink while lying on a beach. The acceleration due to gravity at her location is 9.78 m/s2. What gauge pressure must exist in the woman's mouth if she is drinking through a straw extending 0.075 m above the surface of the drink? Note: Assume the drink has a density of 1020 kg/m3.

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Which one of the following statements concerning streamline flow is true?

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Selena uses a garden hose to fill a bucket of water. The water enters the hose through a faucet with a 6.0-cm diameter. The speed of the water at the faucet is 5 m/s. If the faucet and the nozzle are at the same height, and the water leaves the nozzle with a speed of 20 m/s, what is the diameter of the nozzle?

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At standard temperature and pressure, carbon dioxide has a density of 1.98 kg/m3. What volume does 1.70 kg of carbon dioxide occupy at standard temperature and pressure?

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When a block of volume 1.00 × 10-3 m3 is hung from a spring scale as shown in Figure A, the scale reads 10.0 N. When the same block is then placed in an unknown liquid, it floats with 2/3 of its volume submerged as suggested in Figure B. The density of water is 1.00 × 103 kg/m3. When a block of volume 1.00 × 10<sup>-</sup><sup>3</sup> m<sup>3</sup> is hung from a spring scale as shown in Figure A, the scale reads 10.0 N. When the same block is then placed in an unknown liquid, it floats with 2/3 of its volume submerged as suggested in Figure B. The density of water is 1.00 × 10<sup>3</sup> kg/m<sup>3</sup>.   -Determine the mass of the block. -Determine the mass of the block.

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A u-shaped tube is connected to a flexible tube that has a membrane-covered funnel on the opposite end as shown in the drawing. Justin finds that no matter which way he orients to membrane, the height of the liquid in the u-shaped tube does not change. Which of the following choices best describes this behavior? A u-shaped tube is connected to a flexible tube that has a membrane-covered funnel on the opposite end as shown in the drawing. Justin finds that no matter which way he orients to membrane, the height of the liquid in the u-shaped tube does not change. Which of the following choices best describes this behavior?

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What mass of water (at 4.0 °C) can be contained in a rectangular box whose dimensions are 10.0 cm by 5.00 cm by 1.00 cm? The density of water at 4.0 °C is 1.000 × 103 kg/m3.

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How much force does the atmosphere exert on one side of a vertical wall 4.00-m high and 10.0-m long?

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Which one of the following statements concerning fluid streamlines is true?

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The density of ice is 0.92 g/cm3; and the density of seawater is 1.03 g/cm3. A large iceberg floats in Arctic waters. What fraction of the volume of the iceberg is exposed?

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A balloon is released from a tall building. The total mass of the balloon including the enclosed gas is 2.0 kg. Its volume is 5.0 m3. The density of air is 1.3 kg/m3. -What is the magnitude of the initial acceleration of the balloon?

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The average density of the material in intergalactic space is approximately 2.5 × 10-27 kg/m3. What is the volume of a lead sample, ρ\rho = 11 300 kg/m3, that has the same mass as 8.0 × 1024 m3 of intergalactic space?

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In a classroom demonstration, a 79.2-kg physics professor lies on a "bed of nails." The bed consists of a large number of evenly spaced, relatively sharp nails mounted in a board so that the points extend vertically outward from the board. While the professor is lying down, approximately 1950 nails make contact with his body. -What is the average force exerted by each nail on the professor's body?

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Within a certain type of star called a neutron star, the material at the center has a mass density of 1.0 × 1018 kg/m3. If a tiny sphere of this material of radius 1.0 × 10-5 m were somehow transported to the surface of the earth, what would be the weight of this sphere?

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A force of 250 N is applied to a hydraulic jack piston that is 0.02 m in diameter. If the piston that supports the load has a diameter of 0.15 m, approximately how much mass can be lifted by the jack? Ignore any difference in height between the pistons.

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A glass tube has several different cross-sectional areas with the values indicated in the figure. A piston at the left end of the tube exerts pressure so that mercury within the tube flows from the right end with a speed of 8.0 m/s. Three points within the tube are labeled A, B, and C. A glass tube has several different cross-sectional areas with the values indicated in the figure. A piston at the left end of the tube exerts pressure so that mercury within the tube flows from the right end with a speed of 8.0 m/s. Three points within the tube are labeled A, B, and C.   -At what speed is mercury flowing past the point labeled B? -At what speed is mercury flowing past the point labeled B?

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