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: 76a

Answer

The fraction of the body's volume that is above the water surface is $~~0.05$

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 $V_b$ be the volume of the body. We can find an expression for $V_w$, the volume of displaced water. $\rho_w~V_w = \rho_b~V_b$ $V_w = \frac{\rho_b~V_b}{\rho_w}$ $V_w = \frac{0.95~\rho_w~V_b}{\rho_w}$ $V_w = 0.95~V_b$ Therefore, the fraction of the body's volume that is above the water surface is $~~0.05$
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