(III) (a) Show that if a satellite orbits very near the surface of a planet with period T, the density (= mass per unit volume) of the planet is p = m/V = 3™/GT². (b) Esti- mate the density of the Earth, given that a satellite near the surface orbits with a period of 85 min. Approximate the Earth as a uniform sphere.

University Physics Volume 1
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Chapter13: Gravitation
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Problem 27P: The acceleration due to gravity on the surface of a planet is three times as large as it is on the...
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(III) (a) Show that if a satellite orbits very near the surface
of a planet with period T, the density (= mass per unit
volume) of the planet is p = m/V = 3™/GT². (b) Esti-
mate the density of the Earth, given that a satellite near
the surface orbits with a period of 85 min. Approximate
the Earth as a uniform sphere.
Transcribed Image Text:(III) (a) Show that if a satellite orbits very near the surface of a planet with period T, the density (= mass per unit volume) of the planet is p = m/V = 3™/GT². (b) Esti- mate the density of the Earth, given that a satellite near the surface orbits with a period of 85 min. Approximate the Earth as a uniform sphere.
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