The minimum velocity (in ms^(-1))` with which a car driver must traverse a flat curve of radius 150m and coefficient of friction 0.6 to avoid skidding is

Options

A. `60`
B. `30`
C. `15`
D. `25`

Answer

B

Explanation

The friction will provide required centripetal force
From `F.B.D` of car
`f = (mv^(2))/(R )…(i)`
if the car does not skid the friction should be static in nature
`rArr(mv^(2))/(R)lemumgrArrvlesqrt(muRg)`
Maximum permitted velocity ` v = sqrt(muRg)`
`:. v =sqrt(0.6 xx 150 xx 10) =30 m//s`
.