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7 August, 12:38

Suppose that the centripetal force acting on an object in circular motion were doubled to a new value, and the object remained in a circular path with the same radius. How would the motion be affected?

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  1. 7 August, 15:32
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    Centripetal force is mass times centripetal acceleration:

    F = m v² / r

    If force is doubled while mass and radius are held constant, then velocity will increase.

    2F = m u² / r

    2 m v² / r = m u² / r

    2 v² = u²

    u = v√2

    So the velocity increases by a factor of √2.
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