What is the maximum acceleration a car can undergo if the coefficient of static friction between the tires?
Using Newton’s 2nd Law of Motion, F = ma where F = force acting on the car m = mass of the car a = acceleration The only force acting on the car is the frictional force which is equal to F = µN where µ = coefficient of friction = 0.8 N = normal force = mg m = mass (as defined above) g = acceleration due to gravity = 9.8 m/sec^2 Substituting values, µmg = ma and since “m” appears on both sides of the equation, it will simply cancel out hence the above becomes, mg = a and solving for “a” a = 0.8*9.8 a = 7.84 m/sec^2 Hope this helps.
