Posted by kelly on Thursday, March 3, 2011 at 9:33pm.
Calculate the value of g for a satellite that is orbiting in a circle at an altitude equal to 3 Earth radii.
also, along the same lines,
A typical shuttle altitude is 220 km. Calculate the value of g at this altitude.
The the mass of the Earth = 5.98 x 10^24 kg and the radius of the Earth is 6.37 x 10^6 m.

physics  drwls, Thursday, March 3, 2011 at 11:57pm
A) If R (measured from the center of the earth) increases by a factor of 4, as in this case, g gets multiplied by 1/16.
B) At 220 km altitude, R becomes
6370 km + 220 km = 6590 km.
g gets multiplied by (6370/6590)^2 = 0.934
For the actual value of g at those altitudes, multiply those factors by 9.81 m/s^2.