posted by Danielle on .
The acceleration due to gravity is about 10 m/s2 at the Earth's surface. What is the acceleration due to gravity for a person on the space station orbiting 200 miles above the Earth's surface?
First of all, at the Earth's surface, g is 9.8 m/s^2, not 10 m/s^2.
As you get higher above the surface of the Earth, g decreases in proportion to the inverse square of the distance from the center. You will need to look up the Earth's radius Re to make the correction.
Multiply the surface g value by
[Re/(Re + 200)]^2
Re must be in miles. It is roughly 4000 miles.