Coefficient of Friction needed to move a car

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SUMMARY

The discussion focuses on calculating the minimum coefficient of static friction required to accelerate a Porsche at 12 m/s² without tire spin. The key equation used is Fs = µsN, where Fs is the force of static friction, µs is the coefficient of static friction, and N is the normal force. Participants emphasize applying Newton's second law (F = ma) to derive the necessary values, clarifying that sufficient information is available to solve the problem effectively.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Knowledge of static friction and its equation (Fs = µsN)
  • Basic physics concepts related to force and acceleration
  • Familiarity with the concept of normal force in physics
NEXT STEPS
  • Study the application of Newton's second law in various scenarios
  • Explore the relationship between acceleration and friction in vehicle dynamics
  • Learn about calculating normal force in different contexts
  • Investigate real-world examples of tire friction and performance in vehicles
USEFUL FOR

Students studying physics, automotive engineers, and anyone interested in vehicle dynamics and frictional forces.

seaway115
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Hi, I am new here and I need help with a problem.

Homework Statement



Hopping into your Porsche, you floor it and accelerate at 12 m/s/s without spinning the tires. Determine the minimum coefficient of static friction between the tires and the road needed to make this possible.

Homework Equations



Fs = µsN

The Attempt at a Solution



This is where I am stuck. The problem only gives me acceleration so I am unable to use the above equation to solve it. 12m = N -Fs?
 
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Welcome to PF!

seaway115 said:
Hopping into your Porsche, you floor it and accelerate at 12 m/s/s without spinning the tires. Determine the minimum coefficient of static friction between the tires and the road needed to make this possible.

Fs = µsN

This is where I am stuck. The problem only gives me acceleration so I am unable to use the above equation to solve it. 12m = N -Fs?

Hi seaway115! Welcome to PF! :smile:

Use good ol' Newton's second law … F = ma. :wink:
 
At first glance, you might think that you do not have enough information. But if you do as tiny-tim said, you'll see soon enough how nice and easy this problem really is.
 

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