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>True weight is mg ...
The problem with this definition is that mg is the force measured on a ROTATING earth.
g ≠ GM/R^2
"Although the symbol g is sometimes incorrectly used for standard gravity, g (without a suffix) strictly means the local acceleration due to local gravity and centripetal acceleration, which varies depending on one's position on Earth (see Earth's gravity)."
http://en.wikipedia.org/wiki/Standard_gravity
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