Question

A car of mass $m$ is taking a circular turn of radius '$r$' on a fictional level road with a speed $v.$ In order that the car does not skid

• A. $\frac{m{v}^2}{r}\ge \mu mg$
• B. $\frac{m{v}^2}{r}\le \mu mg$
• C. $\frac{m{v}^2}{r}=\mu mg$
• D. $\frac{v}{r}=\mu mg$

Answer 1

Answer: (B)

$\frac{m{v}^2}{r}\le \mu mg$

Given that a car of mass $m$ is takin a circular turn of radius $r$ on a frictional level road with a speed $v$ to take the circular turn the frictional force will provide the necessary centripetal force

$\frac{m{v}^2}{r}=\mu mg$

In order that the car does not skid

$\frac{m{v}^2}{r}<=\mu mg$

Otherwise a centrifugal force will act on the car and it will skid