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

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SUMMARY

The discussion focuses on calculating average power consumption in watts based on a 2000 kilocalorie diet and determining the number of days required to equate this diet to the gravitational energy change from sea level to Mount Everest. The key equations used include Power = Work / delta T, with specific energy conversions noted: 1 large calorie equals 4.2 x 10^3 J and 1 small calorie equals 4.2 J. The user successfully derived the solution after initial confusion regarding the calculations.

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  • Understanding of energy units: kilocalories and joules
  • Basic knowledge of physics equations related to power and work
  • Familiarity with gravitational potential energy concepts
  • Ability to perform unit conversions and calculations
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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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