A satellite has a mass of 106 kg and is located at 2.03 106 m above the surface

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A satellite has a mass of 106 kg and is located at 2.03  106 m above the surface of Earth.

(a) What is the potential energy associated with the satellite at this location?

(b) What is the magnitude of the gravitational force on the satellite?
Jun 8th, 2015

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a)  P= m g' (R + h) – m g R = m g R²/(R+h) – m g R, R is radius of earth= 6371000 

 = - m g R h/(R+h) 

 = - 106 * 9.8 * 6371000 * 2.03*10^6/(6371000 + 2.03*10^6) 

 = - 1599.207*10^6 J 

b)  g = GM/R² 

g' = gR²/(R+h)² 



F= 597.43N

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Jun 8th, 2015

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