386_Physics ProblemsTechnical Physics

386_Physics ProblemsTechnical Physics - 388 P13.14...

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388 Universal Gravitation P13.14 Since speed is constant, the distance traveled between t 1 and t 2 is equal to the distance traveled between t 3 and t 4 . The area of a triangle is equal to one-half its (base) width across one side times its (height) dimension perpendicular to that side. So 1 2 1 2 21 43 bv t t bv t t −= bg states that the particle’s radius vector sweeps out equal areas in equal times. P13.15 T a GM 2 23 4 = π (Kepler’s third law with mM << ) M a GT == × ×⋅ × 4 4 4 22 10 6 67 10 1 77 86 400 190 10 2 28 3 11 2 27 . .. . m Nm kg s kg 22 ej (Approximately 316 Earth masses) P13.16 By conservation of angular momentum for the satellite, rv pp aa = v v r r p a a p 2289 637 10 8659 127 3 3 km km 459 km km km 6829 km . . We do not need to know the period. P13.17 By Kepler’s Third Law, Tk a = (
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