Laws Of Motion Question 98

Question: The maximum speed that can be achieved without skidding by a car on a circular unbanked road of radius R and coefficient of static friction $ \mu $ , is[NCERT 1990]

Options:

A) $ \mu Rg $

B) $ Rg\sqrt{\mu } $

C) $ \mu \sqrt{Rg} $

D) $ \sqrt{\mu Rg} $

Show Answer

Answer:

Correct Answer: D

Solution:

In the given condition the required centripetal force is provided by frictional force between the road and tyre. $ \frac{mv^{2}}{R}=\mu mg $

$ \therefore $ $ v=\sqrt{\mu \ Rg} $



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