Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 15 - Fluids - Problems and Conceptual Exercises - Page 531: 13

Answer

$\mathrm{a}.$ greater $\mathrm{b}.$ equal

Work Step by Step

The density, $\rho$, of a material is its mass M per volume V: $\rho=\mathrm{M}/\mathrm{V} \qquad $15-1 If the pressure at one point in a fluid is $\mathrm{P}_{1}$, the pressure at a depth $\mathrm{h}$ below that point is $\mathrm{P}_{2}=\mathrm{P}_{1}+\rho \mathrm{g}\mathrm{h} \qquad $15-7 ---- $\mathrm{a}.$ $\mathrm{M}=\rho \mathrm{V},$ so the greater mass (and weight) of water will be in the glass with greater volume. Glass 1 has a larger radius, the heights are the the same. The weight of the water in glass 1 is greater. $\mathrm{b}.$ The depth is the same in both glasses, so $\Delta P=\rho gh$ (by 15-7) for both. That is, the pressure is the same at the bottom of each glass.
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