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

### Question Description

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?
J

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

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a)  P= m g' (R + h) – m g R = m g R²/(R+h) – m g R, R is radius of earth= 6371000

= - m g R h/(R+h)

= - 106 * 9.8 * 6371000 * 2.03*10^6/(6371000 + 2.03*10^6)

= - 1599.207*10^6 J

b)  g = GM/R²

g' = gR²/(R+h)²

F=mg'=m(gR²/(R+h)²)

F=106(9.8*6371000²/(6371000+2.03*10^6))²

F= 597.43N

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New York University
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