Questions about an object (car, cyclist, coin) moving on a flat horizontal circular path where friction provides the centripetal force, asking for maximum speed, minimum radius, or slipping conditions.
The minimum velocity (in $\mathrm{ms}^{-1}$) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction 0.6 to avoid skidding is (1) 60 (2) 30 (3) 15 (4) 25
Consider a car moving on a straight road with a speed of $100 \mathrm{~m}/\mathrm{s}$. The distance at which car can be stopped is $[\mu_\mathrm{k} = 0.5]$ (1) 800 m (2) 1000 m (3) 100 m (4) 400 m
A curve in a level road has a radius 75 m. The maximum speed of a car turning this curved road can be $30 \mathrm{~m~s}^{-1}$ without skidding. If radius of curved road is changed to 48 m and the coefficient of friction between the tyres and the road remains same, then maximum allowed speed would be $\_\_\_\_$ $\mathrm{m~s}^{-1}$.