Posted by Cole on Monday, November 1, 2010 at 5:49pm.
on Earth, weight= mg
at the higher altitude,
weight= mg* (re/(re+800))^2 where re is the radius of earth in km.
80 * 9.81 = weight on surface where R = Rearth
weight * R^2 = constant = G m M
weight at Rearth +500,000 meters
weight*(Rearth+5*10^5)^2 = 80*9.81 * Rearth^2
so
weight up there = 80*9.81 (Rearth)^2/(Reart+5*10^5)^2
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