What kind of force acts in the center of the Earth?

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Discussion Overview

The discussion revolves around the types of forces that act at the center of the Earth, including gravitational and normal forces. Participants explore the implications of pressure, temperature, and the nature of forces in a spherically symmetric mass distribution.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants note that there is significant pressure and heat at the center of the Earth.
  • One participant mentions the gravitational force exerted by the Earth, questioning its intensity at the center.
  • Another participant states that if the Earth has a spherically symmetric mass distribution, the gravitational force on an object at the center would be zero.
  • There is a discussion about whether a normal force acts at the center, with some participants questioning the definition and relevance of normal force in this context.
  • Participants debate the concept of normal force acting in all directions at a single point, with some arguing that this is more akin to pressure in a fluid rather than a traditional normal force.
  • One participant elaborates on gravitational force laws, referencing Gauss' theorem and the cancellation of forces from parts of the sphere farther from the center.

Areas of Agreement / Disagreement

Participants express differing views on the nature of forces at the center of the Earth, particularly regarding gravitational force and normal force. The discussion remains unresolved with multiple competing perspectives presented.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about force definitions and the implications of spherical symmetry. The relevance of normal force in this context is particularly contested.

Gabriele Pinna
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What kind of force acts in the centre of the Earth ? What is the intensity ?
 
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There is quite some pressure there and it is pretty hot as well.
 
And, of course, the force from the sun according to Newton's law (and from several other celestial bodies...).
 
What about the gravitational force acts by the Earth ?
 
Gabriele Pinna said:
What about the gravitational force acts by the Earth ?
If you assume the Earth has a spherically symmetric mass distribution, the gravitational force of the Earth on an object at the center of the Earth would be zero.
 
Could you say normal force is acting on the center, or no?
 
ProfuselyQuarky said:
Could you say normal force is acting on the center, or no?
Normal to what?
 
Normal force meaning any force acting on something at a ##90^{\circ}## (right) angle. If we’re talking about a single point in the center of the earth, would that mean that normal force is acting on the point in all directions?
 
ProfuselyQuarky said:
Could you say normal force is acting on the center, or no?
A "normal" force is usually a force between an object and some supporting surface (and normal to that surface). What did you have in mind?
 
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  • #10
Doc Al said:
and normal to that surface
Normal meaning orthogonal. I didn’t know there had to be a supporting surface.
ProfuselyQuarky said:
If we’re talking about a single point in the center of the earth, would that mean that normal force is acting on the point in all directions?
I had that in mind. I was wondering if that was correct or incorrect. I guess it's incorrect?
 
  • #11
ProfuselyQuarky said:
Normal force meaning any force acting on something at a ##90^{\circ}## (right) angle. If we’re talking about a single point in the center of the earth, would that mean that normal force is acting on the point in all directions?
90 degree angle relative to what? Any direction looks the same, there is no normal force because the concept does not even make sense.
And a force from what?
 
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  • #12
ProfuselyQuarky said:
would that mean that normal force is acting on the point in all directions?
That is pressure in a fluid, not normal force.
 
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  • #13
mfb said:
90 degree angle relative to what?
That’s what I was asking about. Since the 90 degrees would not be relative to any specific surface, I thought that would mean that the force could be acting on the point in all directions.
mfb said:
the concept does not even make sense.
Okay, fine. The idea is jargon.
A.T. said:
That is pressure in a fluid, not normal force.
I see . . . thanks for the explanation :)
 
  • #14
Gabriele Pinna said:
What about the gravitational force acts by the Earth ?
I figured that's what you were really inquiring about -- and teasingly avoided that in my first answer. The Doc made good on that, but perhaps it's good to elaborate a bit more. For ##1/r^2## laws such as Newton's law of gravity ( and following ) and Coulomb's law one can derive Gauss' theorem that popularly says: you only have to take into account what's underneath you -- the contributions from the part of the sphere with a greater distance to the center cancel.

And it makes sense: along a hole through the Earth something has to happen with the force from gravity, because at the other end it has the same magnitude but points the opposite way.
 
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