Posted by Nina on Thursday, January 14, 2010 at 10:11pm.
The earth's radius is about Re = 6.4*10^6 m. At 2*10^6 m above the surface, you are R = 8.4*10^6 m from the center of the Earth. The acceleration of gravity is reduced by a ratio
(6.4/8.4)^2 = 0.58
and g is reduced to g'= 5.7 m/s^2
The potential energy (relative to the ground), is M G[1/Re - 1/R]. G is the universal constant here.
This P.E. will be somewhat less than
M * g *altitude, because g is not constant with altitude
The gravity force is M g'
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