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

Engineering
Tutor: None Selected Time limit: 1 Day

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
Jun 15th, 2015

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

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

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 15th, 2015

Are you studying on the go? Check out our FREE app and post questions on the fly!
Download on the
App Store
...
Jun 15th, 2015
...
Jun 15th, 2015
Dec 7th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer