Imagine you're in a spacecraft that uses centripetal force to simulate gravity. What happens if you jump?

Imagine you're in a spacecraft that uses centripetal force to simulate gravity. What happens if you jump?
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I would think you would drop back down. If the speed of the rotation stays constant the force of fake gravity should also stay the same. It would be different I suppose the sweet spot would be where people are expected to be the majority of the time.Since there is no resistance in space there would need to be a counter rotation on the part of the ship that isn’t gravity charged otherwise the other part wouldn’t turn.
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