A car rounds a flat horizontal bend of radius $20$ m. If the coefficient of friction between the tyres and the road is $0.5$, find the maximum speed at which the car can take the bend without skidding. (Take $g = 10$ m s$^{-2}$.)

Question

Accepted Answer

$10$ m s$^{-1}$. Friction supplies the centripetal force: $\mu mg = \dfrac{mv^2}{r}$, so $v = \sqrt{\mu g r} = \sqrt{0.5 	imes 10 	imes 20} = \sqrt{100} = 10$ m s$^{-1}$. Forgetting the square root gives 100.

Answer

A) $10$ m s$^{-1}$

Answer

B) $5$ m s$^{-1}$

Answer

C) $100$ m s$^{-1}$

Answer

D) $20$ m s$^{-1}$

A car rounds a flat horizontal bend of radius $20$ m. If the coefficient of friction between the tyres and the road is $0.5$, find the maximum speed at which the car can take the bend without skidding. (Take $g = 10$ m s$^{-2}$.)

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