A race car that weighs 2740 lb is on a circular portion of a track with a radius of r=310 ft. The race car is traveling at v0=95.0 mph when it begins to decelerate such that its tangential component of acceleration is a= -11.2 ft/s^2 The race car can be treated as a particle.
a) What is the total ground friction force acting on the race car after it has traveled a distance of s=50 feet into the curve?
b) At what angle (with respect to the +x axis) is the total ground friction force vector pointing at this distance?
c) What minimum coefficient of friction is required for the car to develop this amount of lateral ground force?
d) What would have happened to the race car if it hit a "slick spot" in the curve at this point that had a coefficient of friction of μ=0.50?