Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 11 - Fluids - Problems - Page 309: 20

Answer

(a) $F=3.4780\times10^6N$ (b) Weight of jetliner $W=1.1772\times10^6N$

Work Step by Step

The density of sea water is given as $\rho=1025kg/m^3$ depth of water is given as $h=11000m$ so pressure it this depth $P=P_{a}+\rho g h$ $P_{a}$=atmospheric pressure $=1.01325\times10^5Pa= 1.01325\times10^5N/m^2$ $g=9.81m/s^2$ $\rho=1025kg/m^3$ $h=11000m$ $P=1.01325\times10^5N/m^2+1025kg/m^3\times9.81m/s^2\times 11000m$ $P=1.01325\times10^5N/m^2 +1.1060775\times10^8N/m^2$ $P=1.1070907\times10^8N/m^2$ (a) given observation window radius $r=0.10m$ area of the window $A=\pi r^2=\pi (0.10m)^2$ window $A=3.14159\times10^{-2}m^2$ since $P=\frac{F}{A}$ so force on window $F=PA$ $F=1.1070907\times10^8N/m^2\times3.14159\times10^{-2}m^2$ $F=3.4780\times10^6N$ (b) Mass of the jetliner $M=1.2\times10^5kg$ acceleration due to gravity $g=9.81m/s^2$ so weight of the jetliner $W=Mg$ $W=1.2\times10^5kg\times9.81m/s^2$ $W=11.772\times10^5N$ $W=1.1772\times10^6N$ we can say that force is almost double that of the weight of jetliner.
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