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 radius R in m67x 4a+yu-ixsinwmof1w4b 2 a ne ns*ts4y s+n:i1qq e0ynpimx jx4s*62w highway is designed so that a car traveli+ p4x sx4einyjsq0 iqms2n 61:n*t*syng 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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