First we’re going to assume the earth is like a ball in that it’s a perfect sphere, and also that the density of the earth is even and it depends only how far from the center of the earth you are. Let’s also assume the earth isn’t rotating. Once we have these things in mind, then the magnitude of the force of gravity acting on an object goes like this…
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Sorry about that – I’ve updated the link and now it should work!
This link doesn’t take you to the “Real Rocket Launch”, it takes you back to the home page. :/