[Physicist]

You will weigh more on top of Mt. Everest. You would be right about the inverse square law if the Earth were smooth, but that is more than compensated by the gravity from Everest itself. Look at the big blue-and-white blob over the Himalayas!

Furthermore, you will have an additional weight gain from the loss of buoyancy caused by the relative thinness of the air. I'm not sure whether this will be greater or less than the change in gravity. Both effects are small.

[Chemist_Geek]

You will weigh more on top of Mt. Everest. You would be right about the inverse square law if the Earth were smooth, but that is more than compensated by the gravity from Everest itself. Look at the big blue-and-white blob over the Himalayas!

Hey, atoms are perfect spheres (as far as I'm professionally concerned). I get lost very quickly beyond spherically symmetric force fields. Thanks for the assist.