An elite Tour de France cyclist can maintain an output power of 440W during a sustained climb. At this output power, how long would it take an 81kg cyclist (including the mass of his bike) to climb the famed 1100-m-high Alpe d'Huez mountain stage? Neglect any friction.

The amount of time it would take the cyclist to climb Alpe d'Huez mountain stage is 1,984.5 seconds.

Given the following data:

Scientific data:

To determine the amount of time it would take the cyclist to climb Alpe d'Huez mountain stage:

First of all, we would calculate the potential energy possessed by the cyclist and his bike:

Potential energy = 873,180 Joules

Mathematically, power is given by the formula:

Making time the subject of formula, we have:

Substituting the given parameters into the formula, we have;

Time = 1,984.5 seconds.

Read more: link

Potential energy is given by :

It is also given that power supplied is 440 W.

Let, time taken to reach the Alpe d'Huez mountain stage is t.

So,

Hence, this is the required solution.

molecules are free to separate from each other and will take on the shape of the container. molecules move completely at random and high speeds. they vibrate in a fixed position and do not move around much. molecules expand to the edge of their container.