If you were to dig to the Earth’s core and weigh yourself, with no mass between you and the Earth’s center, you would weigh exactly zero.
Of course, the 10,000 degree Fahrenheit core would vaporize you long before you could enjoy zero G.
Science Fact of the Day 1.26.12
26 Thursday Jan 2012
Posted in Science Fact of the Day
Science-Based Life 
that’s something I won’t be trying out anytime soon
How would you weigh yourself though? If you were in the center and put the scale on your feet wouldn’t the scale very lightly be pulled in towards you?
I suppose the fact that you would be floating weightlessly at the exact center would be enough to infer that you have no weight. I can’t see how a scale contraption (as you stated) could do it.
I think he meant that the gravitational attraction between you and the scale would register on the scale (depending on how the mechanism of the scale worked relative to its own center of mass), giving you a non-zero “weight”.
Weight is not a characteristic of a single body, but of a system (i.e. “my weight on Earth”, etc.). A scale only measures your “weight” (implied: between you and the Earth) when you put the scale between your center of mass and the Earth’s center of mass. So if you were *at* the Earth’s center of mass, you couldn’t position the scale properly.
Incidentally, the “center of the Earth” is not a stationary point. It moves as the mass distribution of the planet shifts.
Too much analysis, I know. But hey, this is a science blog. I’m allowed! ;)
And wouldn’t you be crushed to death by the sheer mass of the planet as well?