Three blocks, labeled A, B, and C, are floating in water as shown in the drawing. Blocks A and B have the same mass and volume. Block C has the same volume, but is submerged to a greater depth than the other two blocks. Which one of the following statements concerning this situation is false?Group of answer choicesThe volume of water displaced by block C is greater than that displaced by block B.The buoyant force acting on block C is greater than that acting on block B.The buoyant force acting on block A is equal to that acting on block B.The volume of water displaced by block A is greater than that displaced by block B.
Question
Three blocks, labeled A, B, and C, are floating in water as shown in the drawing. Blocks A and B have the same mass and volume. Block C has the same volume, but is submerged to a greater depth than the other two blocks. Which one of the following statements concerning this situation is false?Group of answer choicesThe volume of water displaced by block C is greater than that displaced by block B.The buoyant force acting on block C is greater than that acting on block B.The buoyant force acting on block A is equal to that acting on block B.The volume of water displaced by block A is greater than that displaced by block B.
Solution
The false statement is: "The volume of water displaced by block C is greater than that displaced by block B."
Here's why:
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The volume of water displaced by an object is equal to the volume of the object that is submerged. Since blocks B and C have the same volume and are both fully submerged, they displace the same volume of water. Therefore, it's false to say that block C displaces more water than block B.
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The buoyant force acting on an object is equal to the weight of the water displaced by the object. Since blocks B and C displace the same volume of water, the buoyant force on them is the same. So, it's true that the buoyant force on block C is greater than that on block B, because block C is more submerged, meaning it displaces more water.
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Since blocks A and B have
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