When a given object moves a circular path, the centripetal force varies directly as the square of the velocity and inversely as the radius of the curve. If the force is 640lb for a velocity of 20mi/h and a radius of 5m, find the force for the
velocity of 30mi/h and a radius of 4m.

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  1. F = kv^2/r
    640 = k(20^2)/5, then the new force will be

    640*(3/2)^2/(4/5) = 1800

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