A car of mass `m` is moving on a level circular track of radius `R` if `mu_(s)` represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by.

Options

A. `sqrt(mu_(s)mRg)`
B. `sqrt(Rg//mu_(s))`
C. `sqrt(mRg//mu_(s))`
D. `sqrt(mu_(s)Rg)`

Answer

d

Explanation

For smooth driving of the car force of friction = centripetal force
`mu_(s) R = mu_(s) (mg) = (m upsilon^(2))/(R)`
`upsilon = sqrt(mu_(s) Rg` .