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 164-km race in which his average speed is 11.1 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 x 10-4 nutritional Calories.

Answer 1

1720.725 Calories

Step-by-step explanation:

Time = Distance / Speed

`Time=(164000)/(11.1)=14774.77\ s`

Work done

`W=Ptm\\\Rightarrow W=6.5* 14774.77* 75\\\Rightarrow W=7202700.375\ J`

Converting to calories

`1\ Joule=2.389* 10^(-4)\ Calories`

`7202700.375\ Joule=7202700.375* 2.389* 10^(-4)\ Calories=1720.725\ Calories`

The work done is 1720.725 Calories