# Problem: An elite Tour de France cyclist can maintain an output power of 470 W during a sustained climb. At this output power, how long would it take an 88 kg cyclist (including the mass of his bike) to climb the famed 1100-m-high Alpe d'Huez mountain stage? Neglect any friction.

###### FREE Expert Solution

In this problem, we are required to do some work using a given power.

Work:

$\overline{){\mathbf{W}}{\mathbf{=}}{\mathbf{P}}{\mathbf{t}}}$

Gravitational potential energy:

$\overline{){{\mathbit{U}}}_{{\mathbf{g}}}{\mathbf{=}}{\mathbf{m}}{\mathbf{g}}{\mathbf{h}}}$

100% (259 ratings) ###### Problem Details

An elite Tour de France cyclist can maintain an output power of 470 W during a sustained climb. At this output power, how long would it take an 88 kg cyclist (including the mass of his bike) to climb the famed 1100-m-high Alpe d'Huez mountain stage? Neglect any friction.

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