Undergrad Mass & Density: Unpacking Feynman's Idea

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SUMMARY

The discussion centers on Richard Feynman's perspective that mass can be viewed as a numerical value, particularly in relation to energy. Participants emphasize that mass is an invariant quantity, remaining constant across all reference frames, while energy is frame-dependent. The conversation highlights the importance of understanding the definitions and implications of mass and energy in mechanics, particularly in closed systems where energy conservation is a key principle. Ultimately, the dialogue questions the depth of our understanding of mass beyond its functional role in physics.

PREREQUISITES
  • Understanding of Feynman's lectures on energy and mechanics
  • Familiarity with concepts of mass and energy in physics
  • Knowledge of reference frames in classical mechanics
  • Basic grasp of energy conservation principles in closed systems
NEXT STEPS
  • Explore Feynman's lectures on energy and work-energy principles
  • Study the concept of invariant mass in special relativity
  • Investigate the relationship between kinetic energy and reference frames
  • Learn about gravitational potential energy and its reference point implications
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Physics students, educators, and anyone interested in deepening their understanding of mass and energy relationships in mechanics.

Anko
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TL;DR
Do we know what mass is or just what it does in mechanics
What do you think of the idea that mass is a number?

This apparently derives from something Feynman said about energy. Apart from saying "nobody knows what energy is", he does go on to explain in the same lecture, what he knows about work energy. Is it more important to know how something is related to something else when both have physical units, or more important to know what the units "mean"?

Since having equations is also meaningful. Since in general equations imply a measurement?
 
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Mass of system is energy measured in the inertial frame of reference where the system has no momentum. I think it is the definition. Mass is reduced to energy in the definition.
 
Anko said:
Summary:: Do we know what mass is or just what it does in mechanics

What do you think of the idea that mass is a number?
Mass in an invariant quantity. This means that the mass of an object is the same in all reference frames.

The Energy of a system, however, depends on the reference frame. E.g. kinetic energy depends on the speed of the object, which varies according to which reference frame you are using. And, GPE (gravitational potential energy) depends on an arbitrary reference point (e.g. zero at "infinity").

Only changes in energy are meaninful. E.g. if you move within a gravitational field, then the change in your GPE is the same, regardless of the reference point.

Note that in a closed system energy is conserved, which means it doesn't change over time.
 
Anko said:
Summary:: Do we know what mass is or just what it does in mechanics
This kind of question annoys me. Of course we know what mass is. Then we get the inevitable follow up questions like “But do we know what mass really is?” Or “Do we know what mass IS?” As though that changes the question.
 
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But Dale, maybe we can know what mass is, but do what we know what it really really is?

<ducking and running for cover>
 
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I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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