What is gravitational potential energy?

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SUMMARY

Gravitational Potential Energy (GPE) is defined as the work done on an object against the gravitational force to bring it from infinity to a specific point. This definition emphasizes that GPE is not the work done by gravity but rather the work required to oppose it. The discussion highlights the importance of sign conventions in physics, particularly in the context of energy conservation, where GPE and kinetic energy are related. The concept of GPE is crucial for understanding gravitational interactions and energy transformations in physics.

PREREQUISITES
  • Understanding of gravitational force and its implications.
  • Familiarity with the concept of work in physics.
  • Knowledge of energy conservation principles.
  • Basic grasp of sign conventions in physics.
NEXT STEPS
  • Explore the concept of work-energy theorem in classical mechanics.
  • Learn about energy conservation laws in gravitational fields.
  • Study the implications of different sign conventions in physics.
  • Investigate the relationship between gravitational potential energy and kinetic energy.
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Students of physics, educators teaching mechanics, and anyone interested in the principles of energy and forces in gravitational contexts.

Miraj Kayastha
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is GPE at a point the work we must do against the gravitational force to bring an object from infinity to the point? Or is it the work done by the gravitational force?
 
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It is the work done by the gravity.
 
Miraj Kayastha said:
is GPE at a point the work we must do against the gravitational force to bring an object from infinity to the point?
Yes.

Or is it the work done by the gravitational force?
No, it's the negative of that.
 
Miraj Kayastha said:
is GPE at a point the work we must do against the gravitational force to bring an object from infinity to the point? Or is it the work done by the gravitational force?


It has to be the work done ON. The Force could be due to many causes - a spring and gravity, for instance. How would you apportion the work done BY between the two, if it worked your alternative way? If you read the definition anywhere, it is quite consistent.
 
sophiecentaur said:
It has to be the work done ON. The Force could be due to many causes - a spring and gravity, for instance. How would you apportion the work done BY between the two, if it worked your alternative way? If you read the definition anywhere, it is quite consistent.

What point are you trying to make here? That gravitational potential energy is equal to the work done ON an object to oppose gravity rather than the work done ON an object by gravity amounts to nothing more than a sign convention.

We adopt the sign convention that we do so that "Kinetic Energy" plus "Gravitational Potential Energy" is conserved.

One could equally well adopt the opposite sign convention so that "Kinetic Energy" minus "Gravitational Energy Deficit" is conserved.
 
jbriggs444 said:
What point are you trying to make here? That gravitational potential energy is equal to the work done ON an object to oppose gravity rather than the work done ON an object by gravity amounts to nothing more than a sign convention.

We adopt the sign convention that we do so that "Kinetic Energy" plus "Gravitational Potential Energy" is conserved.

One could equally well adopt the opposite sign convention so that "Kinetic Energy" minus "Gravitational Energy Deficit" is conserved.

I was just pointing out that using the definition avoids any confusion (of sign, as you say). If you start introducing the idea that gravity 'does work' when things fall then there can be utter confusion if and when there is another agency involved. I think that is a valid point and is not just a matter of a sign.
 
sophiecentaur said:
I was just pointing out that using the definition avoids any confusion (of sign, as you say). If you start introducing the idea that gravity 'does work' when things fall then there can be utter confusion if and when there is another agency involved. I think that is a valid point and is not just a matter of a sign.

If gravity is modeled as a force then gravity does do work when things fall. If two forces are applied to a moving object then both forces do work. That there can be confusion does not change the facts of the matter.
 
Miraj Kayastha said:
is GPE at a point the work we must do against the gravitational force to bring an object from infinity to the point? Or is it the work done by the gravitational force?

That's a perfectly suitable definition. Another definition could be the work done against gravity to bring an object to a certain distance above the ground. Potential energy is not an absolute number - the point which you define to be zero, either ground level, infinity, or wherever, is totally arbitrary. Potential differences, however, are not arbitrary and do have physical meaning.
 
jbriggs444 said:
If gravity is modeled as a force then gravity does do work when things fall. If two forces are applied to a moving object then both forces do work. That there can be confusion does not change the facts of the matter.


The question was about Gravitational Potential. I thought that was defined in terms of Work done ON a unit Mass to bring it from infinity. Isn't that the fact of the matter? I can't see a need to consider who does the work so why is there a need to worry further?
 
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sophiecentaur said:
The question was about Gravitational Potential. I thought that was defined in terms of Work done ON a unit Mass to bring it from infinity. Isn't that the fact of the matter? I can't see a need to consider who does the work so why is there a need to worry further?

It is defined in terms of the work done ON a unit Mass BY all forces other than gravity. Or, as the OP worded it, ON an object AGAINST the force of gravity, (which I read to be the same thing).

But apparently I have misunderstood your point. It had seemed that you were claiming that gravity does not do work. Upon re-reading I see that you had not actually made such a claim.
 

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