Floating Block 1234
The specific gravity of a material is the ratio of the material's density to the density of water: SG= Pmaterial/Pwater. The density of water is water = 1 g/cm3 = 1000 kg/m3.
A rectangular block of wood, 11 cm X 17 cm X 39 cm, has a specific gravity of 0.60.
1) Determine the buoyant force that acts on the block when it is placed in a pool of fresh water. Hint: Draw a free-body diagram labeling all of the forces on the block. (Express your answer to two significant figures.)
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2) What fraction of the block is submerged? (Express your answer to two significant figures.)
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3) Determine the weight of the water that is displaced by the block. (Express your answer to two significant figures.)
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4) You can completely submerge the wooden block by pushing down on it with your finger.
With what force F would you need to push down on the block so that it is completely submerged in the water? (Express your answer to two significant figures.)
F=
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