本题目来源于试卷: gc physics textbook chapter 5 problems，类别为 通用国际物理
[问答题]
A circular curve of r(77d zcpe:vr7c:rc1i r2c jvg 2jn 6vhad f om7cxq6f2az6t5 u)eius R in a new highway is designed so that a car travelx5a )7fq tmc ue6z2o6fing at speed $ v_{0}$ can negotiate the turn safely on glare ice (zero friction). If a car travels too slowly, then it will slip toward the center of the circle. If it travels too fast, then it will slip away from the center of the circle. If the coefficient of static friction increases, a car can stay on the road while traveling at any speed within a range from $v_{\min }$ to $v_{\max }$ . Derive formulas for $ v_{\min }$ and $ v_{\max } $ as functions of $\mu_{s}, v_{0}$ , and R .
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