Gravitational Potential Energy & L.C.E. Questions

In summary, potential energy, or PE, is a concept that explains how certain forces, such as gravity and electric forces, can store energy in their fields. When these forces do work on an object, they do not simply remove the energy, but rather store it in the field. This stored energy can then be used to do work on other objects. In the case of a comet passing by Earth, its GPE is converted into kinetic energy as it approaches the Earth, and then into an explosion upon impact. This is similar to the conversion of kinetic energy into deformation energy in a car collision.
  • #1
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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  • #2
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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  • #3
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!)
 
  • #4
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.
 
  • #5
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?
 
  • #6
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.
 
  • #7
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.)
 
  • #8
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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  • #9
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.
 
  • #10
Potential energy becomes kinetic energy when something falls. Sorry, I should have clarified that.
 

1. What is gravitational potential energy?

Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. It is the amount of work an object is capable of doing when it is in a certain position relative to a reference point.

2. How is gravitational potential energy calculated?

Gravitational potential energy is calculated using the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object relative to the reference point.

3. What is the relationship between gravitational potential energy and mass?

The gravitational potential energy of an object is directly proportional to its mass. This means that as the mass of an object increases, its gravitational potential energy also increases.

4. How does the height of an object affect its gravitational potential energy?

The higher an object is positioned in a gravitational field, the greater its gravitational potential energy. This is because the object has more potential energy due to its increased distance from the reference point.

5. How does the Law of Conservation of Energy apply to gravitational potential energy?

The Law of Conservation of Energy states that energy cannot be created or destroyed, only transformed from one form to another. In the case of gravitational potential energy, it can be transformed into other forms of energy, such as kinetic energy, but the total amount of energy remains constant.

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