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because the acceleration of an object moving in a circle is always in the direction of the net force acting on it, there must be a net force toward the
of the circle. this or center - seeking force is exemplified by the suns force on earth to keep
earth in its orbit, or by the tension in the chain of a hammer swung by an athlete.
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When an object moves in a circular path, according to Newton's second law ($\vec{F} = m\vec{a}$), since the centripetal acceleration ($a_c=\frac{v^{2}}{r}$) is directed towards the center of the circle, the net force (centripetal force) must also be towards the center. The Sun - Earth example is gravitational force providing the centripetal force.
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center, centripetal, gravitational