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} $