# physics

A satellite is placed in orbit 100 km above the surface of the earth (radius = 6370 km, mass = 5.98 x 1024 kg).

What is the value of the acceleration of gravity at that altitude as a percentage of the acceleration at the surface of the earth?

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1. F = G Mm/r^2
g = F/m = G M/r^2

g at R = Re = G M/Re^2
g at R = Rsat = G M/Rsat^2

g at Rsat/g at Re = G M/Rsat^2/GM/Re^2

= Re^2/Rsat^2

= 6370^2/6470^2
for percent multiply by 100

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posted by Damon

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