Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 14 - Fluids and Elasticity - Conceptual Questions - Page 383: 8


$F_A = F_C > F_B$

Work Step by Step

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 of liquid. Therefore, the buoyant force on Object B is smaller; $F_A = F_C > F_B$
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