Essential University Physics: Volume 1 (4th Edition) Clone

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 15 - Exercises and Problems - Page 290: 50

Answer

15 rocks can be added before it sinks.

Work Step by Step

Since a third of it is under water, we know that the jar itself has a third of the density of water. Thus, we find how many rocks have to be added in the given volume to make the density of the rock 2/3 of that of the water. We call the number of rocks n to find: $\frac{2g}{3cm^3} = \frac{12n}{\pi (2.5^2) (14)}$ $n = 15.27$
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