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

### Question Description

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? Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service.

## Final Answer 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. Gopal_R (1109)
Duke University Anonymous
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