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

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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? J

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

Jun 10th, 2015

Thank you for the opportunity to help you with your question!

PART A

g = G M/R²

R = Earth's radius

At h = 2.03 10^6 m of altitude:

g' = G M/(R+h)²

By dividing the equations:

g'/g = R²/(R+h)²

g' = g R²/(R+h)²

F = m g' = m g R²/(R+h)² = 106 * 9.8 * 6371000²/(6371000 + 2.03*10^6)²

F = 597.43 N <---ANSWER


Working on part b NOW! :) 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 10th, 2015

Sorry that is part B (the coffee is getting to me ;) ) . Part A will be posted shortly

Jun 10th, 2015

PART 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 + 2.03 *10^6) 

U = - 1.59 * 109 J  <---ANSWER FOR POTENTIAL ENERGY (PART A)


Jun 10th, 2015

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