Calculating Energy Requirements for Human Activity on Inclined Surfaces

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SUMMARY

The discussion centers on calculating the energy requirements for a human walking up an inclined surface with a 12-degree angle. The average human mass is 52 kg, requiring approximately 9,000,000 J of energy daily. To determine the height of the hill (h) using the formula Eg = mgh, the energy input of 9,000,000 J is directly used, with gravity (g) being 9.81 m/s². The work done by gravity during this activity is calculated as the product of the weight of the person and the vertical height gained.

PREREQUISITES
  • Understanding of gravitational potential energy (Eg = mgh)
  • Basic knowledge of trigonometry, specifically sine functions
  • Familiarity with the concept of work in physics
  • Knowledge of units of energy (Joules)
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  • Calculate the height of the hill using the formula Eg = mgh with given energy and mass
  • Explore the relationship between energy and work done against gravity
  • Investigate the effects of incline angles on energy expenditure
  • Learn about energy conservation in physical activities
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Students studying physics, fitness enthusiasts analyzing energy expenditure, and professionals in biomechanics or sports science.

thegame
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here is a question that I am unable to solve:

The average human, of mass 52 kg needs to have approximately 9,000,000 J of energy per day. Suppose, you had to walk up a hill with an incline of 12 degrees. Determine the following:
a) how high would the hill have to be (i.e. - change in height) in order to consume all of this energy.
b) how much work did gravity do in all of this walking?

for A, i know you have to use the formula Eg=mgh but i am not sure where to sub in the energy as 9,000,000J or sin 12*9,000,000 (since its at an angle)

B) i don't knoe what role gravity plays in this?
 
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Originally posted by Ambitwistor
In the formula mgh, h refers to just the vertical displacement, not the total distance.

sorry, but you haven't answered my question? directly
 
SO, energy is not a vector quantity?
 

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