...circular race track.? Friction provides the force needed for a car to travel around a flat, circular race track. What is the maximum speed at which a car can safely travel if the radius of the track is 75.0 m and the coefficient of friction is 0.36?
F = mv^2/r, Force of friction = µFn
µFn = mv^2/r, Fn = mg
µmg = mv^2/r, Cancel out m
µg = v^2/r, Multiply each side by r
v^2 = rµg, Sq. Root each side
v = ?rµg, Plug in values (g = 9.8 m/s^2)
v = ?((75m)(0.36)(9.8 m/s^2)
v = 16.039 m/s