Finding the coefficient of friction

AI Thread Summary
The problem involves finding the coefficient of friction between a race car's tires and the road when the driver can accelerate at 4.0 m/s² without spinning the tires. The equations for kinetic and static friction are referenced, leading to confusion about whether static or kinetic friction applies. The initial calculation suggests a coefficient of 0.41, but this does not match the book's answer. Clarification is sought on whether the scenario involves static friction until the tires slip, indicating that the correct coefficient should be determined based on the maximum acceleration before tire slip occurs. Understanding the transition from static to kinetic friction is crucial in resolving the discrepancy in the answers.
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Homework Statement



A race-car driver discovers that he can accelerate at 4.0 m/s2 without spinning his tires, but if he tries to accelerate more rapidly, he always "burns rubber." What is the coefficient of friction between his tires and the road?

Answer behind the book:
0.62

Homework Equations



Kinetic friction force = ukN
Static friction force <= usN

The Attempt at a Solution



I'm really lost with this one. I tried starting with Newton's second law and end up at:
ukmg = ma
ukg = a
uk = a/g = 0.41

Which is not the answer behind the book. Is this considered static friction? I'd think not because the tires are slipping relative to the ground. Anyone can put me on the right path?
 
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It is static friction up to the point where the tires start to slip. So I get u_s = 0.41. I don't understand the given answer, unless some info is missing.
 
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