In the winter, you are driving your car on a flat road at constant speed. The ro
ID: 1426836 • Letter: I
Question
In the winter, you are driving your car on a flat road at constant speed. The road is a little icy, so the coefficient of static friction between your car tires and the road is only 0.240. The road curves to the right, following a circular arc with a radius of 120 m. Even on the curve, however, the road is completely flat—the curve is not banked at all. If you need it, use g = 10 m/s2. (a) Under these conditions, what is the maximum speed at which you can travel around the curve without your car slipping?
Explanation / Answer
us =0.24, r =120 m, g =10 m/s^2
(a) maximum speed v = [us*rg]^1/2
v = (0.24*120*10)^0.5
v = 16.97 m/s