(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.
(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
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter13: Gravitation
Section: Chapter Questions
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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Question
![(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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F942589de-dad9-4b53-ae6b-31cf1fc4f9a8%2F57f628c9-4856-4af7-b0bc-af150935cbdc%2F30f058h.png&w=3840&q=75)
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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