Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 13 - Think and Discuss: 108

Answer

The water level will fall.

Work Step by Step

The iron in the battleship will displace a greater amount of water while floating than when submerged. A floating battleship of weight w displaces a weight w of water, which takes up more space than iron of weight w. When the iron in the ship is submerged, and all the air pockets are filled, it displaces only its own volume, so the water level drops. Try it yourself in your kitchen sink, with a deep heavy bowl playing the role of the floating ship. Overturn it to "sink" it.
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