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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?

1 Answer

2 votes

Answer:

Speed, v = 13.39 m/s

Step-by-step explanation:

It is given that,

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

Radius of the curve, r = 30.5 m

When the car is at the verge of sliding,


(mv^2)/(r)=\mu_s\ mg

v is the speed of the car


v=√(\mu_s\ gr)


v=√(0.6* 9.8* 30.5)

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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