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

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zwbbql132

Engineering

Question Description

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?
  
The response you submitted has the wrong sign. J

(b) What is the magnitude of the gravitational force on the satellite?
  N

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Explanation & Answer

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a) U = m g' (R + h) – m g R = m g R²/(R+h) – m g R 

U = m g R (R/(R+h) – 1) = - m g R h/(R+h) 

U = - 106 * 9.8 * 6371000 * 2.03*10^6/(6371000 + 1.97 10^6) 

U = - 793.45*10^6 J 

b) F = m g' = m g R²/(R+h)² = 106 * 9.8 * 6371000²/(6371000 + 1.97 10^6)² = 597.43 N


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UCLA

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