posted by Tiffany .
Air rushing over the wings of high-performance race cars generates unwanted horizontal air resistance but also causes a vertical downforce, which helps cars hug the track more securely. The coefficient of static friction between the track and the tires of a 552-kg car is 0.967. What is the magnitude of the maximum acceleration at which the car can speed up without its tires slipping when a 3150-N downforce and an 1300-N horizontal air resistance force act on it?
We need the horizontal acceleration so,
Since Fx, or the horizontal forces acting on the car is composed of the air resistance and the force of static friction,
Looking for fs(static friction):
Solving for ax: