Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 14 - Fluids - Problems - Page 412: 73

Answer

$\rho = 1.5~g/cm^3$

Work Step by Step

The weight of the displaced water is equal to the weight of the body. Then the mass of the displaced water is equal to the mass of the body. Let $V$ be the volume of the body. We can find the density of the water: $\rho = \frac{m}{2V/3}$ $\rho = \frac{3}{2}\cdot \frac{m}{V}$ $\rho = \frac{3}{2}\cdot (0.98~g/cm^3)$ $\rho = 1.5~g/cm^3$ Note that the water is so dense because it is very salty.
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