A car, of mass 2.1 X 10^3 kg, travels in the horizontal plane around an unbanked curve of a radius of 275 m at a speed of 26 m/s, without sliding.

a) Determine the minimum coefficient of static friction between the tires and the road.








b) How would your answer in part a) be affected if the mass of the vehicle were greater because of the presence of heavy cargo?





c) How would your answer in part a) be affected if the curve were sharper, i.e., if its radius were smaller?