​A satellite has a mass of 94 kg and is located at 1.96 106 m above the surface

label Physics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

A satellite has a mass of 94 kg and is located at 1.96  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


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 = - 94 * 9.8 * 6371000 * 1.97 10^6/(6371000 + 1.97 10^6) 

U =  1386148117.01 J

      = - 1386.15 * 10^6 J 

b) The acceleration due to gravity at sea level is: 

g = G M/R² 

R = Earth's radius 

At h = 1.96 *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 = 94 * 9.8 * 6371000²/(6371000 + 1.97*10^6)² 

F = 537.44 N 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 8th, 2015

the first one is not correct 


Jun 8th, 2015

Try that in different forms

Jun 8th, 2015

I am sorry....

-1380767229.86

= - 1380.77 * 10^6 J 


Jun 8th, 2015

still gave me incorrect 

Jun 8th, 2015

Try that in different forms............................................................................................................................................

Jun 8th, 2015

i've tried  is incorrect



Jun 8th, 2015

I double checked the answer. its correct


Jun 8th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Jun 8th, 2015
...
Jun 8th, 2015
Sep 21st, 2017
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