For a satellite to orbit Earth at a constant distance, its centrifugal acceleration must be equal and opposite Earth's gravitational acceleration. If a satellite is to orbit at a constant distance from Earth at a circular radius of 8,000,000 m, what is the required velocity of the satellite? (Assume the acceleration due to Earth's gravity is 6.2 m/s2 at this altitude.)

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter13: Gravitation
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Problem 79AP: Given the perihelion distance, p , and aphelion distance, q , for an elliptical orbit, show that the...
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For a satellite to orbit Earth at a constant distance, its centrifugal acceleration must be equal and opposite Earth's gravitational acceleration. If a satellite is to orbit at a constant distance from Earth at a circular radius of 8,000,000 m, what is the required velocity of the satellite? (Assume the acceleration due to Earth's gravity is 6.2 m/s2 at this altitude.)
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FBD of Satellite

# FBD of satellite

  Physics homework question answer, step 1, image 1                       

                 mg = force due to gravity   g = 6.2 m/s2   (given)mv2R = Centrifugal force    R = 8,000,000 

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