Question

A block of wood has a steel ball glued to one surface. The block can float in water with the ball "high and dry" on its top surface. (a) When the block is inverted and the ball is immersed in the water, does the volume of wood that is submerged increase, decrease, or stay the same? (b) Choose the best explanation from among the following: A. When the block is inverted, the ball pulls it downward, causing more of the wood to be submerged. B. The same amount of mass is supported in either case; therefore, the amount of wood that is submerged is the same. C. When the block is inverted, the ball experiences a buoyant force, which reduces the buoyant force that must be provided by the wood.

Solution

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By Archimedes' principle. the buoyancy will be equal to the weight of displaced liquid by the body. In the first case only water is displaced. After the oil is added some of it will be displaced by the block so less water needs to be displaced to balance block's weight and thus less of the block will be submerged into water.

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