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

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SUMMARY

The gravitational potential energy (GPE) of a 64.0 kg person at an elevation of 5334 m in Aucanquilca, Chile, is calculated using the formula GPE = m x g x h, where m is mass, g is the acceleration due to gravity (9.8 m/s²), and h is height. The calculation yields a GPE of 3,345,484.8 Joules. While this value is correct, it is essential to note that potential energy is relative to a specified reference point, which was not defined in the discussion.

PREREQUISITES
  • Understanding of gravitational potential energy (GPE)
  • Familiarity with the formula GPE = m x g x h
  • Knowledge of free-fall acceleration (9.8 m/s² at sea level)
  • Concept of reference points in potential energy calculations
NEXT STEPS
  • Research the implications of reference points in gravitational potential energy calculations
  • Explore variations in gravitational acceleration at different altitudes
  • Learn about potential energy in cosmological contexts
  • Investigate the significance of potential energy in physics and engineering applications
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Students studying physics, educators teaching gravitational concepts, and anyone interested in the applications of potential energy in real-world scenarios.

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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