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Well, first of all, the Earth would no longer follow an 'orbit', and would take off

in a straight line at a constant speed, leaving the sun behind very soon.

Next, the Earth's atmosphere would quickly disappear, because gravity is what

holds all that gas snuggled around the planet.

Then, all the people, cars, animals, buses, train cars, and anything else that's

not nailed down, would fly away, because gravity is what holds us on the surface

and making that circular motion as the Earth spins. We too would take off, in a

straight line at a constant speed.

I say "first of all", because these are the first effects that come to mind. But

none of that matters, because most likely, the Earth would simply fall apart,

like any other spinning mudball that's not stuck together well enough. Some

big pieces, and huge numbers of little pieces, would all take off, in straight

lines and at constant speeds.

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