Gravitational Potential Energy & L.C.E. Questions

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SUMMARY

The discussion centers on the concept of Gravitational Potential Energy (GPE) and its transformation during the interaction of a comet with Earth. It establishes that GPE is stored in gravitational fields and is transformed into kinetic energy (Ek) as the comet approaches Earth. The conversation also highlights that the energy cannot be created or destroyed but is merely transformed, and when the comet impacts Earth, the potential energy converts into kinetic energy, potentially resulting in an explosion. The interaction of gravitational fields and energy storage is emphasized as a key aspect of understanding GPE.

PREREQUISITES
  • Understanding of Gravitational Potential Energy (GPE)
  • Familiarity with kinetic energy (Ek) concepts
  • Basic knowledge of gravitational fields and their properties
  • Awareness of energy conservation principles in physics
NEXT STEPS
  • Explore the concept of energy storage in gravitational fields
  • Learn about the transformation of potential energy into kinetic energy during free fall
  • Investigate the implications of mass distribution on gravitational fields
  • Study the effects of collisions on energy transformation in physical systems
USEFUL FOR

Students of physics, educators, and anyone interested in the principles of energy transformation and gravitational interactions in celestial mechanics.

victorhugo
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1. A comet that passes by Earth has GPE, which will be all lost if it begins to fall towards Earth. If it's shot back up, it will now start with Ek and finish with a higher GPE.
Now, what exactly is this GPE? if energy cannot be created or destroyed, but transformed, where does it get stored at GPE? Where does it go?
Also, the comet would add the gravity of Earth as it hits Earth, thus increasing the GPE of everything else around Earth. Does this have anything to do with it?
 
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victorhugo said:
1. A comet that passes by Earth has GPE, which will be all lost if it begins to fall towards Earth. If it's shot back up, it will now start with Ek and finish with a higher GPE.
Now, what exactly is this GPE? if energy cannot be created or destroyed, but transformed, where does it get stored at GPE? Where does it go?
Also, the comet would add the gravity of Earth as it hits Earth, thus increasing the GPE of everything else around Earth. Does this have anything to do with it?
Okay suppose there is no GPE.
and you placed an object in the air, It will fall down right?
There is a force acting on it over a distance. So something must be doing work on it. There must be energy stored somewhere.
So potential energy is just an idea that for some forces like Gravity and electric forces. When they do work on an object, It doesn't simply remove that energy but store it in its field.
## W_{conservative force} = -\Delta PE ##
The field will use this energy to do work on objects.
 
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Biker said:
So potential energy is just an idea that for some forces like Gravity and electric forces. When they do work on an object, It doesn't simply remove that energy but store it in its field.
## W_{conservative force} = -\Delta PE ##
The field will use this energy to do work on objects.

How exactly does it get stored in the fields, especially of electric forces? I can see GPE working as now the mass that hit the Earth adds a tiny amount to the total g of Earth and thus increasing the total GPE of everything else within Earth's gravitational field (infinity!)
 
There was a previous thread about storing energy:
https://www.physicsforums.com/threads/energy-stored-in-a-field.74340/

The how and where questions leads to confusion, we can probably say how but Where is not a good question. Fields are just forces. So if they can do work they must have energy.

If you place a +Q charge beside another, you will find that it gets repelled. Now you might ask where it got the energy? You have placed the charge there and you did work on the charge to place it there ( you felt the repulsion )so that is how it got the energy.

In order for the whole energy concept works there must be something called potential energy.

That is just how I see the whole topic, maybe someone will probably talk deeply about it here.
 
Suppose you have several shelves at different heights. Then moving an object from one shelf to another changes its gravitational PE. Maybe you can answer your own question for that object. How is the PE stored for that object?
 
I think part of your question is what happens to the GPE if the comet hits the earth. Is that right? It would make a big unfortunate explosion. Lots of energy would be released.

A similar question I've heard is "what happens to the kinetic energy of cars when they collide?" The energy goes into deforming the metal of the cars.
 
victorhugo said:
Also, the comet would add the gravity of Earth as it hits Earth, thus increasing the GPE of everything else around Earth. Does this have anything to do with it?
The comet has gravity before it collides with the Earth. The gravity of the Earth + comet is roughly the same before and after the comet collides with the Earth. (The mass distribution will be slightly different, but this has very little effect on other objects far from the Earth and comet.)
 
If you really want to know where the energy "goes", you could think of the gravitational potential energy as being stored in the gravitational field. Somehow, curved space is lower energy than flat space. Greater accumulation of masses generates a lower energy field around it. So, pulling apart two masses flattens out the field a bit, and this takes some energy.
 
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Aaron Crowl said:
I think part of your question is what happens to the GPE if the comet hits the earth. Is that right? It would make a big unfortunate explosion. Lots of energy would be released.
That's what happens to the kinetic energy. Nothing happens to the potential energy, which is the same for a comet at the Earth's surface and a bunch of comet fragments at the Earth's surface.

Potential energy is being converted into kinetic energy as the comet gains speed during its approach to the earth. The kinetic energy turns into a (possibly very large) explosion, while the potential energy that hasn't yet been converted remains potential.

A similar question I've heard is "what happens to the kinetic energy of cars when they collide?" The energy goes into deforming the metal of the cars.
This is true - but note that this time you specified kinetic energy instead of potential.
 
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Potential energy becomes kinetic energy when something falls. Sorry, I should have clarified that.
 

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