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(C) For a car moving on a horizontal circular path,the limiting factor for speed is either skidding or overturning.$1$. Condition for skidding: The ce

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$10.84$

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(C) For a car moving on a horizontal circular path,the limiting factor for speed is either skidding or overturning.$1$. Condition for skidding: The centripetal force is provided by friction,so $mv^2/r \leq \mu mg$,which gives $v \leq \sqrt{\mu gr}$.Substituting the values: $v = \sqrt{0.8 	imes 9.8 	imes 15} = \sqrt{117.6} \approx 10.84 \ m/s$.$2$. Condition for overturning: The car will overturn if the torque due to centripetal force about the outer wheels exceeds the torque due to gravity. The condition is $v \leq \sqrt{gr(w/2h)}$,where $w = 1.1 \ m$ and $h = 0.62 \ m$.$v \leq \sqrt{9.8 	imes 15 	imes (1.1 / (2 	imes 0.62))} = \sqrt{147 	imes 0.887} \approx \sqrt{130.4} \approx 11.42 \ m/s$.Since the speed must satisfy both conditions,the maximum safe speed is the smaller of the two values,which is $10.84 \ m/s$.

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