Question: A cyclist competes in a one-lap race around a flat, circular course of radius 140m. Starting from rest and speeding up at a constant rate throughout the race, the cyclist covers the entire course in 60 s. The mass of the bicycle (including the rider) is 76kg. The magnitude of the net force acting on the cyclist at the finish line is 470 N.
If you assume air resistance is negligible, and the net force acting on the bicyclist is just the force of static friction, we assume the force of static friction in the above case is 470 N. 470 N is the magnitude of static friction.
Based on this, what is the minimum coefficient of static friction (mu-s) between the race track and bicycle?