ch14-p027 - 27(a We use the expression for the variation of...

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27. (a) We use the expression for the variation of pressure with height in an incompressible fluid: p 2 = p 1 ρ g ( y 2 y 1 ). We take y 1 to be at the surface of Earth, where the pressure is p 1 = 1.01 × 10 5 Pa, and y 2 to be at the top of the atmosphere, where the pressure is p 2 = 0. For this calculation, we take the density to be uniformly 1.3 kg/m 3 . Then, 5 3 1 21 32 1.01 10 Pa 7.9 10 m = 7.9 km. (1.3 kg/m )(9.8m/s ) p yy g × −= = (b) Let h be the height of the atmosphere. Now, since the density varies with altitude, we
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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