Why Does Gravitational Pull Drop to Zero at the Earth's Center?

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Discussion Overview

The discussion revolves around the behavior of gravitational pull as one moves towards the center of the Earth, particularly addressing the question of why gravitational pull drops to zero at the Earth's center. Participants explore theoretical implications and conceptual understandings related to gravitational fields and forces.

Discussion Character

  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant describes a hypothetical scenario of descending a ladder through the Earth, questioning the orientation of the body at the center.
  • Another participant humorously suggests that one would need to turn around to avoid being upside down in the gravitational field.
  • A participant emphasizes that the gravitational field always points towards the center of the Earth and varies linearly from zero at the center to the usual gravitational acceleration at the surface.
  • There is a suggestion that the gravitational pull might increase as one approaches the center, referencing the law of universal gravitation and questioning the implications of r approaching zero.
  • A later reply counters this by stating that the gravitational field at the center is zero, explaining that the gravitational pull is influenced only by the mass within the sphere of radius r, leading to a net effect where the gravitational field strength is proportional to r.

Areas of Agreement / Disagreement

Participants express differing views on the nature of gravitational pull as one approaches the center of the Earth. While some assert that the gravitational field is zero at the center, others question this by referencing universal gravitation principles, indicating that multiple competing views remain unresolved.

Contextual Notes

There are unresolved assumptions regarding the application of gravitational laws and the interpretation of gravitational pull at varying distances from the Earth's center.

Pyrrhus
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If you put a ladder through the Earth going through its center, and if you go down it with your head pointing to the Earth's surface and feet to the centroid, passing through Earth's centroid and heading to the other surface, you will go out with your head pointing to the surface and feet to the Earth's centroid. Why?
 
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Because unless you are comfortable climbing a ladder upside down (with respect to the gravitation field) you will be motivated to turn around. :wink:
 
Lets discuss what is hapenning at the centroid. Coz that is where the question really matters? Please dor eply.
 
The gravitational field at any radius always points towards the center of the earth. The effective acceleration due to gravity varies (linearly) from 0 at the center to the usual value of g at the Earth's surface.
 
Well, it say "heading to the surface" so obviously you turn your head to the surface when you pass the center of the earth!
 
:smile: I think you've cracked this riddle!
 
hahahah, Thanks for the replies. I was just wondering if it was something special or whatever.
 
wouldn't the gravitational pull increase as you neared the center of the earth? according to the law of universal gravitation, wouldn't r approach 0 and thus when you are at the center the gravitational force would be infinite?
 
cotton said:
wouldn't the gravitational pull increase as you neared the center of the earth? according to the law of universal gravitation, wouldn't r approach 0 and thus when you are at the center the gravitational force would be infinite?
No. The gravitational field at the center is zero.

The gravitational pull at a distance r from the Earth's center is only due to the mass contained within the sphere of radius r. (The outer shell contribution cancels.) While the the gravitational pull does increase according to M/r^2, M is proportional to r^3: the net effect is that the effective field strength is proportional to r. It's zero at the center (where r = 0) and the usual g at the surface.
 

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