Exam 14: Fluid Mechanics

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An empty spice bottle has an inner volume of 1.31 × 10−4 m3. It has a mass of 112 g when filled with air, and it displaces 1.63 × 10−4 m3 of water when fully submerged. What fraction of the total volume of the bottle will be beneath the surface when it is placed in a tank of water?

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The siphon shown is used to transfer liquid from a higher level to a lower level. If the fluid is drawn up and is continuous through the tube, determine the velocity of flow of gasoline if the vertical distance from the liquid surface to the outlet is 1.0 m. The siphon shown is used to transfer liquid from a higher level to a lower level. If the fluid is drawn up and is continuous through the tube, determine the velocity of flow of gasoline if the vertical distance from the liquid surface to the outlet is 1.0 m.

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How much power is theoretically available from a mass flow of 1 000 kg/s of water when it falls a vertical distance of 100 meters?

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People can snorkel down to a depth of roughly one meter. This means that the additional pressure on the air in their lungs is roughly

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What is the net force inward acting on a spherical bathysphere of diameter 2.00 m at an ocean depth of 1 000 m? (The pressure inside the bathysphere is, hopefully, 1 ATM.) ρ(sea water) = 1.02 × 103 kg/m3.

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A hose has been clamped so that the area at the clamp is only one quarter the area of the rest of the hose. When we ignore the viscosity of water, the ratio of the volume of water delivered per unit time when the clamp is on to the volume of water delivered per unit time without the clamp is

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A cube of water ice (ρ = 0.917 × 103 kg/m3) is placed in mercury (ρ = 13.6 × 103 kg/m3), which is liquid at 0° Celsius. If we ignore any possible melting of the ice cube and problems with the surface tension of mercury, the fraction of the ice cube that floats above the surface of the mercury is

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Water is sent from a firehose at 30.0 m/s at an angle of 30.0° above the horizontal. What is the maximum height reached by the water?

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The water level in identical bowls, A and B, is exactly the same. A contains only water; B contains floating ice as well as water. When we weigh the bowls, we find that

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A large water storage container is filled to a depth of 3.0 m. The volume above the water is filled with air. In order to pump the water from the container, the air pressure in the container is increased by 3.0 A large water storage container is filled to a depth of 3.0 m. The volume above the water is filled with air. In order to pump the water from the container, the air pressure in the container is increased by 3.0   10<sup>5</sup> N/m<sup>2</sup>. What happens to the pressure in the water at a depth of 1.0 m when the air pressure is increased? 105 N/m2. What happens to the pressure in the water at a depth of 1.0 m when the air pressure is increased?

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A stonecutter's chisel has an edge area of 0.7 cm2. If the chisel is struck with a force of 42 N, what is the pressure exerted on the stone?

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A hole is punched in a full milk carton, 10 cm below the top. What is the initial velocity of outflow?

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An empty spice bottle has an inner volume of 1.31 × 10−4 m3. It has a mass of 112 g when filled with air, and it displaces 1.63 × 10−4 m3 of water when fully submerged. What volume of mercury (ρHg = 13.6 × 103 kg/m3) must be added to the empty bottle so that it will just submerge?

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