Laws of Motion - Result Question 63

63. What will be the maximum speed of a car on a road turn of radius $30 m$ if the coefficient of friction between the tyres and the road is 0.4 (Take $g=9.8 m / s^{2}$ )

[1995]

(a) $10.84 m / s$

(b) $9.84 m / s$

(c) $8.84 m / s$

(d) $6.84 m / s$

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Answer:

Correct Answer: 63. (a)

Solution:

  1. (a) $r=30 m$ and $\mu=0.4$.

$v _{\max }=\sqrt{\mu r g}=\sqrt{0.4 \times 30 \times 9.8}=10.84 m / s$