The power output produced by the cyclist can be looked at by the equation $P = Fv$, where $F$ is the total force acting on the cyclist and $v$ is the speed at which the cyclist is moving. The total resistive force acting on the cyclist would include air drag and friction from the ground on the wheels. These forces will be a determinant of the cyclist power output.
Hiking Colorado's 14,000-foot (4000m) mountain peaks is a popular activity. A trail up Long's Peak climbs from 9,000 ft to 14,000 ft in 6.2 miles, or in metric units, 1500m vertical in 10,000m.
a. How much mechanical work against gravity would a 70kg person perform climbing Long's Peak?
