# 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) What is the potential energy associated with the satellite at this location?

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 = - 1386.1 x 10^6 J

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

g = G M/R²

At h = 1.97 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

Hello once more! Here is the complete answer! Please let me know if you need any clarification. Please best with a 5* as soon as you can Thank you and Godbless!!
Jun 8th, 2015

...
Jun 8th, 2015
...
Jun 8th, 2015
Nov 25th, 2017
check_circle