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A road safety problem. A corner in a flat road has a constant radius of r = 25m. Air resistance and rolling resistance are zero

A road safety problem. A corner in a flat road has a constant radius of r = 25m. Air resistance and rolling resistance are zero and the car is travelling at constant speed. What is the maximum speed our car can go round this corner without skidding? For a reasonably clean, dry road, take the coefficients of static and kinetic friction to be mu_{s} = 1.0μ s=1.0 and mu_{k} = 0.80μ k =0.80. Hint: What horizontal force is acting on the car? Maximum speed _____ kph

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