What will be maximum speed of a car on a curved road of radius 30 m , If the coefficient of friction between the tyres and the road is 0.4?
`(g=9.8 m//s^(2))`

Options

A. `9.84ms^(-1)`
B. `10.84ms^(-1)`
C. `7.84ms^(-1)`
D. `5.84ms^(-1)`

Answer

B

Explanation

If mg is weight of the vehicle and `mu`is the coefficient of friction between the road and type , then `(mv^2)/®lemumg`
`or," " V^2lemurg " "or, vlesqrt(murg)`
Hence, the maximum velocity with which a vehicle can go round a level curve, without slidding is
`v=sqrt(murg)=sqrt(0.4xx30xx9.8)=10.84ms^(-1)`