A cyclist on a level road takes a sharp circular tu rn of rad iu s 3 m (g = 10 `ms^(- 2)` ). If th e coefficient of static friction between the cycle tyres and the road is 0.2, at which of the following speeds will the cyclist not skid while taking the turn ?

Options

A. 14.4 km `h^(-1)`
B. 7.2 km `h^(-1)`
C. 9 km `h^(-1)`
D. 10.8 km `h^(-1)`

Answer

C

Explanation

`v= sqrt(mu_( s ) rg )`
`=squr(6)`
`=2.45 m//s`
`=(2.45 xx 3600)/(1000) kmh^(-1)`
`=8.82 kmh^(-1)`
`=9kmh^(-1)`