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Question 3

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 $$g = 10$$ m s$$^{-2}$$]

Find the maximum speed of a car on a horizontal curved road with radius 50 m and friction coefficient 0.34.

The friction provides the centripetal force:

$$\mu mg = \frac{mv^2}{R}$$

$$v_{max} = \sqrt{\mu R g}$$

$$v_{max} = \sqrt{0.34 \times 50 \times 10}$$

$$v_{max} = \sqrt{170}$$

$$\sqrt{170} \approx \sqrt{169} = 13$$ m/s (approximately)

The correct answer is Option C: $$13$$ m s$$^{-1}$$.

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