A (1500-mathrm{kg}) car enters a section of curved road in the horizontal plane and slows down at

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A \(1500-\mathrm{kg}\) car enters a section of curved road in the horizontal plane and slows down at a uniform rate from a speed of \(100 \mathrm{~km} / \mathrm{h}\) at \(A\) to a speed of \(50 \mathrm{~km} / \mathrm{h}\) as it passes \(C\). The radius of curvature \(ho\) of the road at \(A\) is \(400 \mathrm{~m}\) and at \(C\) is \(80 \mathrm{~m}\). Determine the total horizontal force exerted by the road on the tires at positions \(A, B\), and \(C\). Point \(B\) is the inflection point where the curvature changes direction.

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