Fundamentals of Physics Extended (10th Edition)

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

Chapter 1 - Measurement - Problems - Page 10: 25

Answer

The mass of the mud is $1.9\times10^5kg$.

Work Step by Step

We calculate that the volume of that section of mud to be: $(2500m)(800m)(2m)=4\times10^6m^3$ We are then told this mud is distributed on a $400m\times400m$ surface. Since the total volume won't change, we can calculate the new depth. $(2500m)(800m)(2m)=(400m)(400m)x$ $x=25m$ The volume over an area of $4m^2$ can be calculated by: $V=(4m^2)25m=100m^3$ Each cubic meter has a density of $1900kg/m^3$. To calculate the mass of that portion of mud we: $m=(1900kg/m^3)(100m^3)=1.9\times10^5kg$
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