Question

What is the maximum acceleration a car can undergo if the coefficient of static friction between the tires and the ground is 0.80?

Answer 1

I tried this but check my reasoning anyway...

Explanation:

I think that the maximum acceleration will be obtained at the instant immediately before the tyre starts to move:

Static Friction will be:

`f_s<=muN`

where `N` is the normal Reaction in this case equal to the weight `mg`.

Considering the maximum possible amount of static friction as the maximum force applied we get:

`F_"applied"=f_s`

and from `F=ma`:

`F_"applied"=ma`

`mu*cancel(m)g=cancel(m)a`

`a=mu*g=0.8*9.8=7.8m/s^2`