Friction, speed, and radius of a curve?

AI Thread Summary
To determine the speed at which a car will slide while rounding a curve, the coefficient of static friction (0.789) and the radius of the curve (39.3 m) are crucial. The frictional force must equal the centripetal force required for uniform circular motion, which can be expressed as f(s,max) = μ(s) * F(n). The equation for centripetal acceleration is a = (v^2)/r, linking speed to the radius of the curve. The solution involves calculating the maximum speed before sliding occurs, using the relationship between frictional and centripetal forces. Understanding these concepts is essential for solving the problem effectively.
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Homework Statement



Suppose the coefficient of static friction between the road and the tires on a car is 0.789 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 39.3 m radius?

Homework Equations



i know the equation for uniform circular motion is a=(v^2)/r
verge of sliding means f(s,max)=mu(s)*F(n)

The Attempt at a Solution



and seriously, I have no idea where to start.
 
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Well shouldn't the frictional force provide the centripetal force required?
 

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