本题目来源于试卷: new new new new，类别为 IB物理学
[问答题]
A circular curve of radius R in a new highway is designed so that 9k)dy23 sq rnya ft9 . 1j zj-,zzl*qu6uqrcf:wjo8n;j )n4jtp car traveling at spez)jj.n wl9*z zn;14o8ju-qcp:6 ,jf tju frq ted $ 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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