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:

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

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.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Power concept. You can view video lessons to learn Power. Or if you need more Power practice, you can also practice Power practice problems.