Relativity and Inertia - An Exploration

  • Context: Undergrad 
  • Thread starter Thread starter Urmi Roy
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Discussion Overview

The discussion centers around the concept of inertia, particularly in the context of relativity and its relationship with mass and energy. Participants explore various aspects of inertia, including its definition, implications in different gravitational fields, and its connection to energy and momentum. The conversation spans theoretical considerations and speculative ideas, without reaching a consensus.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification
  • Mathematical reasoning

Main Points Raised

  • Some participants question why inertia exists in relation to mass, suggesting that the capability of matter to resist external forces is not fully understood.
  • One participant asserts that inertia does not change on the moon, emphasizing that the same force is required to achieve a certain acceleration regardless of gravitational differences.
  • Another participant discusses the concept of momentum in relation to inertia, arguing that inertia is the resistance to changes in velocity rather than a property solely derived from mass.
  • A participant introduces the idea that energy may have inertia, referencing the behavior of hot gas compared to cold gas, which raises questions about the relationship between energy and inertia.
  • Some participants explore the implications of Einstein's E=mc², suggesting that inertia could be viewed as a form of energy that helps maintain a body's state of motion.
  • There is a discussion about the inertia of massless particles like photons, with some arguing that photons can exhibit momentum but questioning the applicability of inertia to them.
  • One participant highlights the distinction between momentum and inertia, noting that inertia is not something that can be transferred or absorbed in collisions.

Areas of Agreement / Disagreement

Participants express differing views on the nature of inertia, its relationship with mass and energy, and how it behaves under various conditions. No consensus is reached, and multiple competing perspectives remain throughout the discussion.

Contextual Notes

Some claims rely on specific definitions of inertia and momentum, which may not be universally accepted. The discussion also touches on relativistic concepts without fully resolving how they apply to inertia.

  • #31


Urmi Roy said:
So,in my frame of reference,for a body at rest, it appears to me to have a mass,which is a measure of inertia in (linear motion),so there must be someone else in relative (uniform)motion with me who actually sees this 'mass' as 'energy'...and in one particular frame there must be no mass at all,but only energy!
Maybe this will help. One of the most important concepts in SR is the four-momentum. The timelike component of the four momentum is proportional to the total energy or the relativistic mass. The spacelike components are the momentum, and the norm (magnitude) of the four-momentum is proportional to the rest mass.

Now, like all four-vectors the four-momentum Lorentz transforms like time and space do, and the norm is invariant. So this implies the following for a massive particle:
1) The rest mass is invariant (all frames agree)
2) The relativistic mass is minimized in the rest frame and is strictly greater in other frames
3) There is no frame where either mass goes to 0
 
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  • #32


Urmi Roy said:
Hi,
I'm new here,so I'm kinda nervous.

Anyway,I have a big question(big to me atleast!) about inertia.

I've been pondering what exactly this thing inertia is-why does a body have inertia just because it has a mass? What capability does "matter" in an object have to try and prevent external forces from acting on it?

I thought that Einstein's E=mcsquared might help-saying that mass has a certain amount of energy may mean that it has energy to oppose external forces--I'm not really sure.

On the moon where the gravitational forces are a lot weaker,its easier to lift an object,does it mean that it has less inertia. If it does, inertia is supposed to depend on mass only,so gravitational forces aren't supposed to affect it!

Please help!



Inertia is property of a material. I think you wanted to ask some thing else, right?
 

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