Potential Energy Problem -- GPE of a person at 5334m above sea level

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Homework Help Overview

The discussion revolves around calculating the gravitational potential energy (GPE) of a person at an elevation of 5334 meters above sea level in Aucanquilca, Chile. The problem involves applying the formula for gravitational potential energy, which includes mass, gravitational acceleration, and height.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of the formula m x g x h for calculating GPE and express uncertainty about the correctness of their calculations. There are also questions regarding the interpretation of the large numerical result and its context.

Discussion Status

Some participants are seeking validation for their calculations and expressing concerns about the magnitude of the result. Others are questioning the assumptions related to the reference point for potential energy, indicating a productive exploration of the topic.

Contextual Notes

There is a note that gravitational potential energy is relative to a specified point, which has not been defined in the problem. Additionally, a cosmological perspective on potential energy is mentioned, suggesting that interpretations may vary based on context.

Leah12
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1. With an elevation of 5334 m above sea level, the village of Aucanquilca, Chile, is the highest inhabited town in the world.

What would be the gravitational potential energy associated with a 64.0 kg person in Aucanquilca? Assume that the free-fall acceleration at Aucanquilca is equal to that at sea level.

I know the formula is m x g x h so it would be 64.0 x 9.8 x 5334 I think

When you put those numbers into a calculator you get 3345484.8

Is this correct or am I doing something wrong?
 
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Leah12 said:
1. With an elevation of 5334 m above sea level, the village of Aucanquilca, Chile, is the highest inhabited town in the world.

What would be the gravitational potential energy associated with a 64.0 kg person in Aucanquilca? Assume that the free-fall acceleration at Aucanquilca is equal to that at sea level.

I know the formula is m x g x h so it would be 64.0 x 9.8 x 5334 I think

When you put those numbers into a calculator you get 3345484.8

Is this correct or am I doing something wrong?

That would be 3345484.8 bananas, then?
 
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PeroK said:
That would be 3345484.8 bananas, then?
Joules
 
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Leah12 said:
Joules

Did you think this was a silly question?

1. With an elevation of 5334 m above sea level, the village of Aucanquilca, Chile, is the highest inhabited town in the world.

What would be the gravitational potential energy associated with a 64.0 kg person in Aucanquilca? Assume that the free-fall acceleration at Aucanquilca is equal to that at sea level.
 
PeroK said:
Did you think this was a silly question?

1. With an elevation of 5334 m above sea level, the village of Aucanquilca, Chile, is the highest inhabited town in the world.

What would be the gravitational potential energy associated with a 64.0 kg person in Aucanquilca? Assume that the free-fall acceleration at Aucanquilca is equal to that at sea level.

I wasn't trying to be silly I just wanted to check my work because it was a big number so I'm not sure if it is correct or not.
 
Leah12 said:
I wasn't trying to be silly I just wanted to check my work because it was a big number so I'm not sure if it is correct or not.

I meant that I don't like those sort of questions. Note that PE is always relative to some specified point, which isn't specified in this case.
 
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PeroK said:
I meant that I don't like those sort of questions. Note that PE is always relative to some specified point, which isn't specified in this case.
The exception is that in a more cosmological context it is common to take zero potential energy as the "at infinity" case. In that view the GPE at the village would be a huge negative number of Joules!
 

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