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.

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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.

hypothesising or postulating

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