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

1 Answer
Jul 6, 2018

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:
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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