27. (a) We use the expression for the variation of pressure with height in an incompressible fluid: p2= p1– ρg(y2– y1). We take y1to be at the surface of Earth, where the pressure is p1= 1.01 ×105Pa, and y2to be at the top of the atmosphere, where the pressure is p2= 0. For this calculation, we take the density to be uniformly 1.3 kg/m3.Then,53121321.0110 Pa7.910 m = 7.9 km.(1.3 kg/m )(9.8m/s )pyyg×−===×(b) Let hbe 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.