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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)):

Answer»

Solution :From the SAFE turn condition the SPEED of the VEHICLE (v) must be less than or equal to `sqrt(mu_srg)`
`v lt = sqrt(mu_s rg)`
`sqrt(mu_srg ) = sqrt(0.81 xx 10 xx 10) = 9ms^(-1)`
For Car C, `sqrt(mu_srg)`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.


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