College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 9 - Solids and Fluids - Learning Path Questions and Exercises - Conceptual Questions - Page 347: 14

Answer

When the ice cube is floating, the buoyant force is equal to the weight of ice cube, but since the buoyant force is equal to weight of water displaced by the submerged portion of the ice cub, the floating ice cube displaces its own weight in water. When the ice cube melts, it turns into its own weight in form of water, thereby leaving the overall water level unchanged. The water level will rise because the air will escape when ice melt. Earlier both hollow ice cube and trapped air were displacing water.

Work Step by Step

When the ice cube is floating, the buoyant force is equal to the weight of ice cube, but since the buoyant force is equal to weight of water displaced by the submerged portion of the ice cub, the floating ice cube displaces its own weight in water. When the ice cube melts, it turns into its own weight in form of water, thereby leaving the overall water level unchanged. The water level will rise because the air will escape when ice melt. Earlier both hollow ice cube and trapped air were displacing water.
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