The fitter cyclist, every time!
I forgot an important constraint to my question - that both cyclists reach the top simultaneously.
Given that constraint, I'd guess both exert the same power (both output the same work over the same time).
Where I get hung up though, is that the cyclist...
Homework Statement
If 2 bicyclists are cycling to the top of the same hill, and one bicyclist is using a gear that is twice as difficult as the other, is there a difference in work and power output between the 2 cyclists?