Coefficient of Friction between tires and racetrack

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SUMMARY

The coefficient of friction between Jeff Gordon's tires and the racetrack can be calculated using the acceleration of 4.0 m/s² and the equation F_friction = μ_k * N, where N represents the normal force. The discussion emphasizes that the friction force acting on the rear tires is the only horizontal external force affecting the car's acceleration. The analysis assumes the mass of the car is a variable to be defined in the calculations.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with the concept of friction and its coefficient (μ)
  • Basic knowledge of kinematics, particularly acceleration
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Calculate the coefficient of friction using the formula μ_k = F_friction / N
  • Explore the effects of tire composition on friction coefficients
  • Research the role of weight distribution in vehicle acceleration
  • Investigate how different racing surfaces affect tire performance
USEFUL FOR

Physics students, automotive engineers, and race car enthusiasts interested in understanding vehicle dynamics and tire performance on racetracks.

pech0706
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Homework Statement


Jeff Gordon (a race-car driver) discovers that he can accelerate at 4.0m/s2 without spinning his tires, but if he tries to accelerate more rapidly he always "burns rubber."
Find the coefficient of friction between his tires and the road. Assume the force from the engine is applied only to the rear tires.


Homework Equations


Ffriction=\mukN
E=V+Ffriction



The Attempt at a Solution


I don't even know where to begin on this
 
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welcome to pf!

hi pech0706! welcome to pf! :smile:

(have a mu: µ :wink:)

only external forces can move the car

the only (horizontal) external force is the friction from the road on the back tyres * …

so how much is this friction force when a = 4.0 m/s ? :smile:

(call the mass of the car "m")

* EDIT: come to think of it, that's not quite true …

when the car is accelerating, there's a small backward friction force from the road on the front tyres, essentially caused by the inertia of the front tyres: but I think you're meant to ignore that! :wink:
 

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