Consider a circular leveled road of radius 10 m having coefficient of static friction 0.81. Three cars (A, B and C) are travelling with speed 7 `ms^(-1), 8 ms^(-1) " and " 10 ms^(-1)` respectively, which car will skid when it moves in the circular level road? `(g=10ms^(-2))`:

Explanation

From the safe turn condition the speed of the vehicle (v) must be less than or equal to `sqrt(mu_s rg)`
`v lt = sqrt(mu_s r g)`
`sqrt(mu_s rg ) = sqrt(0.81 xx 10 xx 10) = 9ms^(-1)`
For Car C, `sqrt(mu_s rg)` is less than v.
The speed of car A, B and C are` 7 ms^(-1),8 m s^(-1)` and `10 m s^(-1)` respectively. The cars A and B will have safe turns. But the car C has speed `10 m s^(-1)` while it turns which exceeds the safe turning speed. Hence, the car C will skid.