A car is moving on a horizontal curved road with radius 50m. The approximate maximum speed of car will be, if friction between tyres and road is 0.34. [take g =10 ms^-2]

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3.4 ms^-1

22.4 ms^-1

17 ms^-1

13 ms^-1

answer is D.

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Detailed Solution

$\begin{array}{l} f = \frac{{mv}^{2}}{r} \\ But f \leq μN \\ \Rightarrow \frac{{mv}^{2}}{r} \leq μmg \\ \Rightarrow v \leq \sqrt{μrg} \\ \Rightarrow v \leq \sqrt{0.34 \times 50 \times 10} \\ \Rightarrow v \leq \sqrt{170} m / s \end{array}$

So the body will not skid for a velocity of 13 m/s.

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