Consider a bicyclist traveling on a level road. Frictional forces include rolling friction and air drag (this is high Re).

a. Draw a FDB along with a displacement vector .

b. If losses in the chain and axel bearings are small then the work done by the bicyclist equals the positive work done by the road on the bicycle. Let us further take the velocity to be constant . In terms of _r, , , _D, _air, A, , and, , what are the work done by rolling friction, air drag, the normal force, gravity and the bicyclist?

c. For which forces does the work depends on the speed, not just the distance?