Calorie Work Power - Calculate W & Days for 2000 kcal Diet

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To calculate average power consumption on a 2000 kcal diet, one must convert kilocalories to joules, resulting in approximately 8,368,000 joules per day, which equates to an average power of about 97 watts. For the second part, determining how many days of a 2000 kcal diet equate to the gravitational energy change from sea level to Mount Everest involves calculating the energy required for a 68 kg person to ascend 8,848 meters, which is approximately 5,300,000 joules. Given the daily energy intake, this results in about 0.63 days of diet needed for that energy change. The calculations highlight the efficiency of energy conversion in the human body and the significant energy required for altitude changes. Understanding these conversions is essential for applying physics to real-world dietary and energy expenditure scenarios.
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Homework Statement



(a) If you follow a diet of 2000 food calories per day (2000 kilocalories), what is your average power consumption in watts? (A food or "large" calorie is a unit of energy equal to 4.2 103 J; a regular or "small" calorie is equal to 4.2 J.) Note for comparison that the power consumption in a table lamp is typically about 100 watts.
_______ watts
(b) How many days of a diet of 2000 large calories are equivalent to the gravitational energy change from sea level to the top of Mount Everest, 8848 m above sea level? Assume your weight is 68 kg. (The body is not anywhere near 100% efficient in converting chemical energy into change in altitude. Also note that this is in addition to your basal metabolism.)
_______days

Homework Equations



Power = Work / delta T

The Attempt at a Solution



i tried to find the power based on the calories being large and for when they are small. then i averaged the two powers. it didnt seem to work out though. =(
 
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can you show your steps?
 
i ended up figurin out the solution.
thanks for the help anyways.
=)
 

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