Q: A car is driven round a curved path of radius 18 m without the danger of skidding. The coefficient of friction between the tyres of the car and the surface of the curved path is 0.2. What is the maximum speed of the car for safe driving? (g = 10 ms^{-2})

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Sol: Maximum speed is

$\large v = \sqrt{\mu_s g r}$

$\large v = \sqrt{0.2 \times 10 \times 18}$

$\large v = \sqrt{36} = 6 m/s$