Car A uses tires for which the coefficient of static friction is 0.399 on a particular unbanked curve. The maximum speed at which the car can negotiate this curve is 10.4 m/s. Car B uses tires for which the coefficient of static friction is 0.831 on the same curve. What is the maximum speed at which car B can negotiate the curve
one wants the force of friction to equal centripetal force.
forceA=m v1^2/r = mu1*mg
forceB=m v2^2/r = mu2*mg
assuming the masses are the same, then dividing the equations
(v2/v1)^2=.832/.399
or v2=10.4 * sqrt (.832/.399)