Car A uses tires for which the coefficient of static friction is 0.222 on a particular unbanked curve. The maximum speed at which the car can negotiate this curve is 19.5 m/s. Car B uses tires for which the coefficient of static friction is 0.670 on the same curve. What is the maximum speed at which car B can negotiate the curve?
friction force = mu m g = m *(centripetal acc)
so
mu g = Ac = v^2/R
car A
.222 g = 19.5^2/R
so
R g = 19.5^2/.222
car B
R g = v^2/.670
so
v^2 = .670 [ 19.5^2/.222 ]