Undergrad Source of Energy in a Field of Forces

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Energy is conserved in isolated systems, and this principle extends to fields of forces, such as gravitational fields. When an object moves within a gravitational field, it converts potential energy to kinetic energy as it falls, demonstrating energy conservation. The source of energy in these fields is the field itself, which possesses an energy density that decreases as energy is transferred to objects within it. This process does not require a continuous input of energy; instead, energy is exchanged between the object and the field. Understanding this concept is crucial for grasping the dynamics of energy transfer in force fields.
Lukeblackhill
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good evening!

My question is the following: it is well stated that energy is conserved in any isolated system, and we can in most circumstances expand our system to a many-steps conversion of energy, but always conserved. The classic example could be the energy of the sun stored in form of chemical energy in the plants, which are eaten by a man that converts such an energy into motion when he pushes a ball, and so on.

But when we consider fields of forces, who is the source of the energy they give to things (like an object who gains energy from the gravitational field as it gets near to the earth)?

Thanks!
Cheers!
 
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Lukeblackhill said:
But when we consider fields of forces, who is the source of the energy they give to things (like an object who gains energy from the gravitational field as it gets near to the earth)?
The field itself. The field has an energy density which is reduced.
 
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Lukeblackhill said:
good evening!

My question is the following: it is well stated that energy is conserved in any isolated system, and we can in most circumstances expand our system to a many-steps conversion of energy, but always conserved. The classic example could be the energy of the sun stored in form of chemical energy in the plants, which are eaten by a man that converts such an energy into motion when he pushes a ball, and so on.

But when we consider fields of forces, who is the source of the energy they give to things (like an object who gains energy from the gravitational field as it gets near to the earth)?

Thanks!
Cheers!
An object in Earth's gravitational field has potential energy. When that object falls from a height to the ground, (some of) that potential energy is converted to kinetic energy.
 
Note also that energy is conserved. Drop a rock and it gains kinetic energy vs earth. pick it back up and you give it back as potential energy. And there is no continuous expenditure of energy involved.
 
Dale said:
The field itself. The field has an energy density which is reduced.

Could you explain that in more detail, please? I haven’t found a good material on the matter.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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