Centripetal acceleration automobile problem

AI Thread Summary
To determine the maximum speed a car can achieve while rounding a circular turn without skidding, the coefficient of static friction is used instead of kinetic friction. This is because static friction is responsible for providing the centripetal force necessary to keep the car moving in a circular path. The equation Mu(static)mg = mv^2/r illustrates that static friction prevents the car from sliding outward. The car's mass is 1750 kg, the turn radius is 21 m, and the relevant coefficients of friction are 0.3 for kinetic and 0.76 for static. Understanding the role of static friction is crucial for solving the problem correctly.
Haniszmi
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Homework Statement



6. A car of mass 1750 kg rounds a circular turn of radius of 21 m. The road is flat and the coefficient of kinetic friction between the tires and the road is 0.3, while the coefficient of static friction is 0.76. How fast can the car go without skidding?



Homework Equations



Mu(static)mg = mv^2/r

The Attempt at a Solution


I understand how to do the problem, I just don't understand why the coefficient of static friction would be used and not the coefficient of kinetic friction since the car is moving and not stationary(static friction)
 
Physics news on Phys.org
The friction force is not the one that opposes the forward motion but rather the force towards the center that provides the centripetal acceleration (thus, stops the motion of the car from going outward).
 

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