Question

An elite Tour de France cyclist like John can maintain an output power of 470 W during a sustained climb. At this output power, how long would it take him (given that his mass is 95 kg) to climb the famed Mount Everest, at 8,848 meters? If the average slope of Everest was 60 deg, John would feel a force of 760 N pulling him downward. Given his output power, what would his average velocity up the hill be?

Answer 1

GIVEN:

Output power that is sustained during the climb is

Mass of the person,

Height of the mount everest,

TO FIND:

a) Time taken for the climb

b) Average velocity

SOLUTION:

a) Time taken for the climb:

The power sustained by the cyclist is given by,

b) Average velocity

The power sustained by the cyclist is given by,

The average velocity is given by,