Answered: For a satellite to orbit Earth at a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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

$m g = f o r c e d u e t o g r a v i t y g = 6.2 m / s^{2} (g i v e n) \frac{m v^{2}}{R} = C e n t r i f u g a l f o r c e R = 8, 000, 000$

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