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You are driving your car along a flat, curved road; the curve in the road is...

You are driving your car along a flat, curved road; the curve in the road is a segment of a circle with radius 50 meters. (We call this a "radius of curvature"). How fast can the car drive around the curve if the coefficient of static friction between the tires and the road is 1.0 (tires on dry pavement)? What if the coefficient of friction is 0.2 (tires on ice)?
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