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Suppose the coefficient of static friction between the road and the tires on a car is 0.60 and the car has no negative lift. What speed will put the car on the verge of sliding as it rounds a level curve of 30.5 m radius?

Answer :

Answer:

Speed, v = 13.39 m/s

Explanation:

It is given that,

The coefficient of static friction between the road and the tires on a car is 0.60, [tex]\mu_s=0.6[/tex]

Radius of the curve, r = 30.5 m

When the car is at the verge of sliding,

[tex]\dfrac{mv^2}{r}=\mu_s\ mg[/tex]

v is the speed of the car

[tex]v=\sqrt{\mu_s\ gr}[/tex]

[tex]v=\sqrt{0.6\times 9.8\times 30.5}[/tex]

v = 13.39 m/s

So, the speed the car on the verge of sliding is 13.39 m/s. Hence, this is the required solution.

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