Would You Float or Stretch in a Hollow Sphere at Earth's Center?

  • Context: Undergrad 
  • Thread starter Thread starter Firepanda
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Discussion Overview

The discussion revolves around the hypothetical scenario of being inside a hollow sphere located at the center of the Earth, specifically addressing whether a person would float or experience stretching due to gravitational forces. The conversation explores theoretical implications, gravitational effects, and the behavior of bodies in such a unique environment.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants propose that one would simply float within the hollow sphere, regardless of its size.
  • Others argue that while floating might occur, there could also be stretching effects due to gravitational interactions between different parts of the body.
  • A participant suggests that the body's non-spherical shape could lead to unequal gravitational forces, potentially resulting in a "broken disaster."
  • Another viewpoint emphasizes that the gravitational pull from the mass outside the hollow sphere cancels out, leading to zero net gravitational force at any point inside the sphere.
  • Some participants clarify that while there is no net force acting on the body as a whole, individual particles may still experience forces that could lead to stretching if considered in isolation.
  • One participant introduces the concept of gravitational force varying linearly with distance from the center of the Earth, suggesting that one would feel essentially no gravity.
  • There is a discussion about the implications of forces acting on different points of a wire, with some asserting that equal and opposite forces acting on the same point do not lead to stretching.
  • Another participant questions the analogy of stretching in a wire, arguing that in the case of being inside the hollow sphere, every point experiences equal forces, resulting in no stretching.

Areas of Agreement / Disagreement

Participants do not reach a consensus; multiple competing views remain regarding whether one would float, stretch, or experience a combination of both effects within the hollow sphere.

Contextual Notes

The discussion includes various assumptions about the nature of gravitational forces, the shape of the body, and the theoretical conditions of the hollow sphere, which may not be fully resolved or agreed upon by participants.

  • #31
Doc Al said:
You should be able to find it discussed in most classical mechanics books (or calculus books, for that matter). Here's a site: http://en.wikipedia.org/wiki/Shell_theorem"

Thank you very much
 
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