Bicyclists in the Tour de France do enormous amounts of work during a race. For

Question

Bicyclists in the Tour de France do enormous amounts of work during a race. For example, the average power per kilogram generated by Lance Armstrong (m = 75.0 kg) is 6.50 W per kilogram of his body mass.

a) How much work does he do during a 85 km race in which his average speed is 14.0 m/s?

(b) Often, the work done is expressed in nutritional Calories rather than in joules. Express the work done in part (a) in terms of nutritional Calories, noting that 1 joule = 2.389 times 10-4 nutritional Calories.

Explanation / Answer

(a) First we find the total time
t=x/v
t=120000/15
t=8000 seconds

Now we multiply the time by his total wattage
E=tW
E=(8000)(6.5)(75)
E=3,900,000 joules

(b) There are 4184 joules per nutritional calorie. so divide the answer by this

3900000/4184=932.122 Cal

Hope that helps

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