A car is moving on a horizontal curved road with radius $50\,m$. The approximate maximum speed of car will be $............\,ms^{-1}$, if friction between tyres and road is $0.34.\left[\right.$ Take $\left.g =10 ms ^{-2}\right]$
JEE MAIN 2023, Medium
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$f_s=\frac{m v^2}{r}$
For maximum speed in safe turning,
$f _{ s }= f _{ s } \max =\mu mg$
$v _{\max } \text { (for safe turning }=\sqrt{\mu rg }$
$=\sqrt{0.34 \times 50 \times 10} \approx 13\,m / s$
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