Although the centripetal force is heading towards the center of the circle around which an object is orbiting, why not pull the objects towards the center of the circle?

College Physics
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ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter6: Uniform Circular Motion And Gravitation
Section: Chapter Questions
Problem 5CQ: If centripetal force is directed toward the center, why do you feel that you are ‘thrown' away from...
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Although the centripetal force is heading towards the center of the circle around which an object is orbiting, why not pull the objects towards the center of the circle?

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An object moves in circular motion and experience centripetal force towards center.

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