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

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 15 - Fluids and Elasticity - Conceptual Questions - Page 435: 9

Answer

$\rm Equal$.

Work Step by Step

We can see that the water level in the two beakers is the same. We need to know which one of them weighs more than the other. We know, from Archimedes’ principle, that the magnitude of the buoyant force equals the weight of the displaced liquid and that the buoyant force equals the weight of the ball. So that, $$F_B=m_{ball}g=m_{\rm displaced\;water}g$$ Thus, we can displace the ball by the same amount of mass of water. Hence, the water in the two beakers will still be at the same level as before (when the ball was floating). Therefore, the two beakers now are having $\bf \text{Equal weight}$.
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