Solving a Conceptual Question on Energy and Work

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SUMMARY

The discussion centers on calculating the energy conversion during a mountain climb, specifically how the energy from fat burning translates into potential energy (PE). The climber's weight is denoted as w N, and the elevation gain is h meters. It is established that 25% of the energy from fat converts into PE, while the remaining 75% is dissipated as heat, with half of that heat used for sweat evaporation. The key equations involved are total work done (wh J) and the energy conversion from fat (1000 kcal/kg) and latent heat of evaporation (2.5 x 10^6 J/kg).

PREREQUISITES
  • Understanding of potential energy (PE) calculations using the formula mgh
  • Knowledge of energy conversion percentages in biological systems
  • Familiarity with calorimetry and latent heat concepts
  • Basic algebra for solving equations related to energy and work
NEXT STEPS
  • Calculate the total energy expenditure during physical activities using the formula wh J
  • Learn about energy conversion efficiency in human metabolism
  • Explore the relationship between caloric intake and energy output in exercise
  • Investigate the physics of heat transfer and evaporation in biological systems
USEFUL FOR

This discussion is beneficial for students studying physics and biology, fitness enthusiasts interested in energy expenditure, and professionals in sports science or exercise physiology.

shahal
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Homework Statement


I have a rather conceptual question, if I can understand it I can probably solve the prblem.
Here is the problem:

me and my equipment weight is w N. I am climbing a mountain and I climb an elavation of
h meters.

Now, my body convert 25% of energy burnt from fat into PE. The other 75% appears as heat. Half of the heat generated goes into evaporating sweat.

Also given are the following info:

fat contains 1000kcal/kg
and latent heat of evaporation of sweat is 2.5x10^6 j/Kg


Homework Equations



mgh
wh
mL



The Attempt at a Solution



ofcourse total work done to go up h meters = w x h J = wh Joules

what I do not understand is since 25% of fat burnt is converted into PE, does this mean
that this is equal to wh J?

or does it mean that 25% of wh is equal to the energy generated by burning fat?

Thanks in advance.


 
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Basically I need to find out the amount of fat burnt.
 

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