13.9. Set Up: and Solve: (a) so so and In general is not equal to and this proves that the answer is no. For example, if and then and which is different, (b) so so which is the same as the average of the two densities. This proves that the answer is yes. Reflect: If then in (a) both and equal 13.10. Set Up: (Table 13.1). Solve: 1 mm Hg is the pressure p corresponding to and in the equation So, 1 mm Hg corresponds to (a) and so the expression would be (b) so the expression is the same, (c) and so the expression would be (d) so the expression would be the same as in (c). (e) and so the expression would be 13.11. Set Up: A sphere of radius r has volume means Solve: (a) (b) (c) 13.12. Set Up: The surface area of a hemisphere is On earth, Solve: (a) (b) On earth the pressure is less by a factor of 92, so F 5 1.4 3 10 8 N 92 5 1.5 3 10 6 N F 5 1 92 21 1.01 3 10 5 Pa 21 3 p 21 1.25 m 2 2 5 1.4 3 10 8 N F 5 pA . p air 5 1.01 3 10 5 Pa. A 5 3 p r 2 . m
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