## Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

$F_A = F_C > F_B$
According to Archimedes' Principle, the buoyant force on an object in a liquid is equal to the weight of the liquid that is displaced by the object. All three objects have the same density. Since Object A and Object C have the same mass, they must have the same volume. Then they displace the same volume of liquid. Therefore, the buoyant forces on these two objects are equal. $F_A = F_C$ Since Object B has a smaller mass, it must have the a smaller volume. Then Object B displaces a smaller volume volume of liquid. Therefore, the buoyant force on Object B is smaller. $F_A = F_C > F_B$