What would life be like on a planet that spun just fast enough to negate gravity?

Imagine a world that spun just fast enough (and had a strange enough composition to hold itself together as a spinning sphere) to create an outward, centrifugal force which was as strong as its gravity, causing the effects of gravity to cancel out. In other words, the planets surface would be located at the same position as geosynchronous orbit.

If the description seems to implausible for you: On this planet, the gravity on the surface is zero. As you move away from the surface (upward or downward) the effects of gravity would increase, pulling things towards the planet's core.

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What would life be like on a planet that spun just fast enough to negate gravity?

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