400_Physics ProblemsTechnical Physics

400_Physics ProblemsTechnical Physics - 402 P13.54...

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402 Universal Gravitation P13.54 To approximate the height of the sulfur, set mv mg h Io 2 2 = h = 70 000 m g GM r Io == 2 179 . m s 2 vg h Io = 2 v =≈ 2 1 79 70 000 500 . af bg b g m s over 1 000 mi h A more precise answer is given by 1 2 2 12 mv GMm r GMm r −= 1 2 6 67 10 8 90 10 1 182 10 1 189 10 21 1 2 2 66 v × × × F H G I K J .. ej e j v = 492 m s P13.55 From the walk, 2 25 000 π r = m. Thus, the radius of the planet is r × 25 000 398 10 3 m 2 m . From the drop: yg t g = 1 2 1 2 29 2 1 40 2 2 s m a f so, g MG r × = 2140 29 2 328 10 2 3 2 . . . m s ms 2 a f ∴= × M 779 10 14 k g * P13.56 The distance between the orbiting stars is dr r = 23 03 cos since cos30 3 2 °= . The net inward force on one orbiting star is Gmm d GMm r Gmm d mv r Gm r GM r r rT G m M r T T r GM T r m m 22 2 2 2 2 2 3 3 3 30 30 0 3 4 3 4 4 2
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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