How Is Maximum Car Acceleration Calculated with a Friction Coefficient of 0.30?

[tbaskerv]

Homework Statement

What is the maximum acceleration a car can undergo if the coefficient of static friction between the tires and the ground is 0.30?

Homework Equations

sigmaFy = Fn-mg = may = 0
sigmaFx = Fp - Ffr = max = 0
Ffr = (mew)s * Fn
Fp = Ffr = (mew)*Fn
Fp = (mew)s(mg)

mg is mass times gravity
* are multiplication
(mew)s = static friction
Fn = normal force

The Attempt at a Solution

Um...I have no clue how to solve it, any direction to point me in would be helpful. I can't see how to solve it without the mass of the car, or the initial velocity.

 

[tbaskerv]

Nevermind, it was as simple as multiplying the coefficient by gravity, sorry for the space waster.

 

[nlightner]

I would first clarify the question and gather all the necessary information. The question is asking for the maximum acceleration of a car, which means we need to find the maximum value of acceleration (a) in the equation F=ma. The given coefficient of static friction (μs) between the tires and the ground is 0.30, which is a measure of the frictional force that can be exerted on the car. We also have the equations for the forces acting on the car, including the normal force (Fn), weight (mg), and applied force (Fp).

To solve for the maximum acceleration, we need to use the equation Fp = (μs)Fn. This equation represents the maximum force that can be applied to the car without it slipping or losing traction due to friction. We can rearrange this equation to solve for the maximum acceleration: a = Fp/m = (μs)Fn/m.

However, we still need to know the value of Fn and m. The normal force (Fn) is equal to the weight (mg), which can be calculated if we know the mass (m) of the car and the acceleration due to gravity (g). Once we have all the necessary information, we can plug it into the equation and solve for the maximum acceleration.

In summary, to find the maximum acceleration of a car, we need to use the equation a = Fp/m = (μs)Fn/m, where Fp is the maximum force that can be applied to the car without slipping, Fn is the normal force (equal to the weight of the car), and m is the mass of the car. It is important to gather all the necessary information and clearly define the problem before attempting to solve it.