Question

Car A uses tires for which the coefficient of static friction is 0.333 on a particular unbanked curve. The maximum speed at which the car can negotiate this curve is 13.8 m/s. Car B uses tires for which the coefficient of static friction is 0.843 on the same curve. What is the maximum speed at which car B can negotiate the curve?

Answer 1

Coefficient of friction is:

u=v^2/(r*g)

now lets apply this formula to the problem

Set Car A = Car B

and you get

V_a^2/V_b^2 = u_a/u_b

v_b=v_a*sqrt(u_b/u_a)

(13.8)*sqrt(.843/.333) = 21.95 m/s

Answer 2

Note that "r" and "g" cancels out when you put the coefficient of friction equal to each other for car A and car B

Answer 3

Thank you Don. A great way of clarifying through the steps, very detail oriented. Thanks again!