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Density and Buoyancy

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Float? Whether an object will float or not is dependent on the density of the object and the density of the fluid.

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Density

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Float vs. Sink An object will float if it is less dense than the liquid. It will sink if it is more dense than the liquid.

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Archimedes http://www.dctech.com/eureka/archimedes/crown/

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Archimedes’ Discovery A submerged object displaces a volume of fluid equal to its own volume

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Additional Fact A floating object also displaces a volume of fluid, but one less than its total volume

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Archimedes’ Principle Any floating or submerged object experiences an upward force equal in magnitude to the weight of the fluid displaced.

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Buoyant Force

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Example A 0.1 m 3 object is submerged in sea water (density of 1030 kg/m 3 ). What is the buoyant force on the object?

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Apparent Weight ????.?? The apparent weight of a submerged object is found by subtracting the F buoy from the actual weight.

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Problem A rock of density 4500 kg/m 3 is submerged in a pool filled with water (density of 1000 kg/m 3 ). The weight of the rock is 225 N. What force is required to lift the rock from the bottom of the pool?

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Problem #2 A ball (density of 500 kg/m 3 ) is floating in water (density of 1000 kg/m 3 ). The radius of the ball is 0.25 m. What is the volume of water displaced?

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