A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 1.4 × 107 m. The mass of the planet is M = 4.4 × 1024 kg. Express the magnitude of the gravitational force F in terms of M, R, the gravitational constant G, and the mass m of the satellite.  F =    Express the magnitude of the centripetal acceleration ac of the satellite in terms of the speed of the satellite v, and R.  ac =    Express the speed v in terms of G, M and R.  v = Calculate the numerical value of v, in m/s.  v =

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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 A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 1.4 × 107 m. The mass of the planet is M = 4.4 × 1024 kg.

Express the magnitude of the gravitational force F in terms of MR, the gravitational constant G, and the mass m of the satellite. 
F =

 

 Express the magnitude of the centripetal acceleration ac of the satellite in terms of the speed of the satellite v, and R
ac = 

 

Express the speed v in terms of GM and R
v =
Calculate the numerical value of v, in m/s. 
v =

 

V
R
Transcribed Image Text:V R
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