Acceleration due to gravity below earth

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Discussion Overview

The discussion revolves around how the acceleration due to gravity changes as one moves beneath the Earth's surface, exploring theoretical implications of gravity at various depths, particularly at the core. The scope includes conceptual understanding and theoretical models related to gravitational attraction within a spherical shell.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions how gravity changes as one descends into the Earth, suggesting it increases and then decreases, leading to a theoretical zero gravity at the center.
  • Another participant expresses uncertainty about feeling weightless at the core, noting the significant pressure experienced instead.
  • A different viewpoint discusses the gravitational attraction from a homogeneous spherical shell, stating that gravity inside the sphere is zero and suggesting a model where gravity decreases proportionally to the amount of Earth's crust above, while acknowledging real-world deviations due to varying densities.
  • A participant references a related thread, indicating a connection to previous discussions on the topic.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the experience of weightlessness at the core, and there are competing views on the behavior of gravity as one moves beneath the Earth's surface.

Contextual Notes

The discussion includes assumptions about the Earth's structure and density variations that may affect gravitational calculations, as well as the simplifications made in the models presented.

holtvg
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How does the acceleration due to gravity change as you go underneath the earth, someone told me that it increases then decreases as you approach the core, so theoretically the acceleration due to gravity at the center of the Earth or the inner core is zero? So would you be weightless at the inner core?
 
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I'm not exactly sure if you'd feel weightless...you'll be feeling quite an amount of pressure.
 
If you solve the integral for the gravitational attraction from a homogeneous spherical shell, it is the same as a point source from the outside, but the gravitational attraction anywhere inside the sphere is zero.

So if you regard the Earth as a set of concentric shells, a good first order approximation, the gravity you feel goes down in say, a gold mine, proportional to the amount of the Earth's crust that you are under. In reality there are deviations from this model. Oceans are less dense than land, and have thinner crust underneath, while the crust under mountains is thicker and so on.
 

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