How to solve how much work is done:

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SUMMARY

The discussion focuses on calculating the work done by Lance Armstrong during an 80-km race in the Tour de France, where he generates an average power of 6.50 W/kg with a body mass of 75.0 kg. To determine the time taken for the race, the average speed of 12.0 m/s is used, resulting in a duration of approximately 6666.67 seconds. The work done is then calculated using the formula for power (p = w/t), leading to a total work output of 44,000 joules, which can be converted to nutritional Calories using the conversion factor of 1 joule = 2.389 x 10^-4 nutritional Calories, yielding approximately 10.52 Calories.

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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 80-km race in which his average speed is 12.0 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 10-4 nutritional Calories.

p=w/t
Ke=1/2 mv^2
w+Kef-Kei

I started with plugging the information I was given into the problems above, but got stuck after that.
 
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For part (a) how long did the race last (for him, anyway)?
 

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