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?
A)The density of block A is less than that of block C.
B)The buoyant force acting on block A is equal to that acting on block B.
C)The volume of water displaced by block C is greater than that displaced by block B.
D)The buoyant force acting on block C is greater than that acting on block B.
E)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? 
A)The density of block A is less than that of block C. 
B)The buoyant force acting on block A is equal to that acting on block B. 
C)The volume of water displaced by block C is greater than that displaced by block B. 
D)The buoyant force acting on block C is greater than that acting on block B. 
E)The volume of water displaced by block A is greater than that displaced by block B.

Quizplus · Accepted Answer

According to Archimedes' principle, the buoyant force acting on an object is equal to the weight of the water displaced by that object. Since blocks A and B have the same mass and volume, they will displace the same amount of water and experience the same amount of buoyant force. Block C, on the other hand, is submerged to a greater depth and therefore displaces more water, experiencing a greater buoyant force. Therefore, statement E is false as the volume of water displaced by block A is equal to that displaced by block B.

Three Blocks,labeled A,B,and C,are Floating in Water as Shown in the Drawing.Blocks