Coefficient of Friction needed to move a car

In summary, the conversation discusses a problem involving accelerating a Porsche without spinning the tires, and determining the minimum coefficient of static friction needed to make this possible. The solution involves using Newton's second law, F = ma, to solve for the force and then using the equation Fs = µsN to find the coefficient of static friction.
  • #1
seaway115
1
0
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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  • #2
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:
 
  • #3
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.
 

FAQ: Coefficient of Friction needed to move a car

What is the coefficient of friction needed to move a car?

The coefficient of friction needed to move a car varies depending on the surface the car is moving on. On dry pavement, the coefficient of friction needed is typically between 0.7 and 0.8. However, on wet or icy surfaces, the coefficient of friction needed can be significantly lower.

How does the weight of a car affect the coefficient of friction needed to move it?

The weight of a car does not directly affect the coefficient of friction needed to move it. However, a heavier car may have more traction on the road, which can impact the overall frictional force needed to move the car.

Can the coefficient of friction needed to move a car be too high?

Yes, the coefficient of friction needed to move a car can be too high. If the coefficient of friction is too high, it can cause excessive wear and tear on the car's tires and may also make it difficult to stop the car quickly.

What factors can affect the coefficient of friction needed to move a car?

The coefficient of friction needed to move a car can be affected by various factors, including the type of surface the car is moving on, the condition of the surface (dry, wet, etc.), the weight and distribution of weight in the car, and the type and condition of the car's tires.

Can the coefficient of friction needed to move a car be calculated?

Yes, the coefficient of friction needed to move a car can be calculated by dividing the force required to move the car by the weight of the car. However, this calculation may not always accurately reflect the actual coefficient of friction needed in real-world conditions.

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