I just asked this question on physics.stackexchange.com. Can you answer it for me?

When chemical energy is released, mass is reduced (http://goo.gl/exSQ1) -- if only by a negligible amount. Presumably that's true for all energy. And presumably that works in reverse as well: storing energy involves an increase in mass. It seems to follow that moving some object against a gravitational gradient, increases the mass of the object -- potential energy is being stored. Somehow that's difficult to understand. Is it really true?
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