Question 81: Work, Energy and Power & Circular Motion

Question

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

Accepted Answer

$f_{s}=\frac{m v^{2}}{r}$
For maximum speed in safe turning,
$\mathrm{f}_{\mathrm{s}}=\mathrm{f}_{\mathrm{s}} \max =\mu \mathrm{mg}$
$\mathrm{v}_{\max }$ (for safe turning) $=\sqrt{\mu \mathrm{rg}}$
$=\sqrt{0.34 	imes 50 	imes 10} \approx 13 \mathrm{~m} / \mathrm{s}$

Answer

3.4 ms$$^{-1}$$

Answer

13 ms$$^{-1}$$

Answer

22.4 ms$$^{-1}$$

Answer

17 ms$$^{-1}$$

Work, Energy and Power & Circular Motion

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

Choose the correct answer: