Finding Mechanical Energy without knowing Efficiency

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Homework Help Overview

The problem involves calculating the Mechanical Energy expended by a man during a hike, given his weight, the vertical height of the hike, and his energy consumption rate. The subject area pertains to mechanics and energy concepts, particularly focusing on potential energy and mechanical work.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relationship between total energy expenditure and mechanical energy, questioning how to determine efficiency. There is also exploration of the distinction between potential energy and mechanical energy.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of energy expenditure and the definitions of mechanical energy versus potential energy. Some guidance has been offered regarding the calculation of potential energy, but no consensus has been reached on how to incorporate efficiency into the mechanical energy calculation.

Contextual Notes

Participants are grappling with the lack of information regarding efficiency and the definitions provided by their instructor. There is a noted distinction between total energy expended and the useful work energy being sought.

jennyskywalker
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Homework Statement


A 65 kg man goes for a 72 minute hike up a mountain that is 400.0 metres in vertical height. The energy consumption rate for this climb is 10.1 kcal/min. What is the Mechanical Energy (useful work energy) expended for this hike? (in kcal)


Homework Equations


ME= (Efficiency x Eout)/100

The Attempt at a Solution


10.1 x 72 = 727.2 (Therefore Eout=727.2) But I don't know the efficiency! So how do I figure this out?
 
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How much energy must the man expend to lift his mass up the mountain?
 
SteamKing said:
How much energy must the man expend to lift his mass up the mountain?

727.2 kcal? But that is the total energy expended, including heat energy. ME=(efficiency x 727.2)/100. That's all I know!
 
I asked on another forum, and they said ME= mgh, but according to my teacher, PE (potential energy)=mgh, and I'm looking for Mechanical energy!
 
energy is energy.

The man expended so many kcal thru his metabolism while walking up the hill. That you have calculated.

However, in moving his mass up the hill, a certain portion of this energy was consumed in moving his mass up the hill against gravity. This energy is equal to the change in gravitational potential from the bottom of the hill to the top.
 

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