Work and Power in CyclingWhen you ride a

Chapter 10, Problem 84PP

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Problem 84PP

Work and Power in Cycling

When you ride a bicycle at constant speed, almost all of the energy you expend goes into the work you do against the drag force of the air. In this problem, assume that all of the energy expended goes into working against drag. As we saw in Section 5.6, the drag force on an object is approximately proportional to the square of its speed with respect to the air. For this problem, assume that exactly and that the air is motionless with respect to the ground unless noted otherwise. Suppose a cyclist and her bicycle have a combined mass of 60 kg and she is cycling along at a speed of 5 m/s.

Upon reducing her speed back down to 5 m/s, she hits a headwind of 5 m/s. How much power is she expending now?

A. 100 W

B. 200 W

C. 500 W

D. 1000 W

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