University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 12 - Fluid Mechanics - Problems - Exercises - Page 392: 12.31

Answer

$T=10.5~N$

Work Step by Step

Find the volume of the rock: $V={m \over \rho_r}={28~N \over (9.8~m/s^2)(1200~kg/m^3)}=2.38\times10^{-3}~m^3$ Find the Buoyant force when the rock is submerged: $B=\rho g V=(750~kg/m^3)(9.8~m/s^2)(2.38\times10^{-3}~m^3)=17.5~N$ Sum all the forces to find the Tension in the string: $\sum F=T+B-W=0$ $T+17.5~N-28~N=0$ $T=10.5~N$
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