Inertial Mass vs. Gravitational Mass

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SUMMARY

The discussion centers on the equivalence of inertial mass and gravitational mass, a concept that has puzzled scientists for centuries. Participants highlight that classical mechanics, as established by Newton, defines mass as a single entity that influences both inertia and gravity. The conversation also touches on the implications of the equivalence principle and its relationship with Newton's third law of motion. A reference to the Wikipedia page on the equivalence principle provides additional context for understanding this fundamental concept in physics.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the equivalence principle in physics
  • Basic knowledge of classical mechanics
  • Concept of gravitational and inertial mass
NEXT STEPS
  • Research the equivalence principle in detail
  • Explore the implications of Newton's third law of motion
  • Study the differences between inertial and gravitational mass in General Relativity
  • Examine experimental evidence supporting the equivalence of inertial and gravitational mass
USEFUL FOR

Students of physics, educators seeking to explain fundamental concepts, and researchers interested in the foundations of gravitational theory will benefit from this discussion.

runningninja
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An interesting idea that my physics teacher posed to us yesterday, and apparently one that scientists have been puzzling over for quite a while: why is the mass as a measure of inertia equal to the mass in terms of gravity in our universe? My teacher said that this doesn't need to be the case, but it just so happens to be. Why?
 
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runningninja said:
An interesting idea that my physics teacher posed to us yesterday, and apparently one that scientists have been puzzling over for quite a while: why is the mass as a measure of inertia equal to the mass in terms of gravity in our universe? My teacher said that this doesn't need to be the case, but it just so happens to be. Why?
To me that always sounded (and still does) somewhat as misunderstanding. In classical mechanics it was found that both inertia and gravitation depend on "amount of matter" as measured with a balance (read Newton); by next finding equations for these effects, by definition there was only one kind of "mass". I can't find a logical reason for wonder about that simple fact.

The real question, I think, is why the inertial effect of mass is proportional to its gravitational effects (there are two); but if I correctly understand it, this is not the case in GR for fast moving objects (and if I'm mistaken, I'll be happy to hear a detailed correction!).
 
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runningninja said:
An interesting idea that my physics teacher posed to us yesterday, and apparently one that scientists have been puzzling over for quite a while: why is the mass as a measure of inertia equal to the mass in terms of gravity in our universe? My teacher said that this doesn't need to be the case, but it just so happens to be. Why?

I've heard statements similar to the one from your teacher. However, according to everything I've read, a violation of the equivalence principle, as it relates to active gravitational mass, would result in a violation of Newton's third law of motion and the conservation of momentum.

This wikipedia section shows the classical reasoning as to why the three different types of mass must be proportionally equivalent.
http://en.wikipedia.org/wiki/Equivalence_principle#Active.2C_passive.2C_and_inertial_masses
 

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