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?

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

g = G M/R²

R = Earth's radius

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

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