problem14_50

University Physics with Modern Physics with Mastering Physics (11th Edition)

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14.50: a) Equation (14.4), with the radius r instead of height , y becomes . ) ( s dr R r ρg dr ρg dp - = - = This form shows that the pressure decreases with increasing radius. Integrating, with , at 0 R r p = = - = = - = r R r r R R ρg dr r R ρg dr r R ρg p R 2 2 s s s ). ( 2 b) Using the above expression with , and 0 3 4 3 R M V M r π ρ = = = Pa. 10 71 . 1 m) 10 38 . 6 ( 8 ) s m kg)(9.80 10 97 . 5 ( 3 ) 0 ( 11 2 6 2 24 × = × × = π
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  • 10 m, 9.80 m, 1011 Pa

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