I don't understand the ''definition/law'' aspect of Newton's laws

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Discussion Overview

The discussion revolves around the interpretation and foundational aspects of Newton's first two laws of motion, particularly focusing on the definitions of force and inertial reference frames. Participants explore the implications of these laws, their definitions, and the conceptual challenges they present, with a mix of theoretical and philosophical considerations.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about Newton's first law, suggesting it does not introduce new concepts without prior definitions of force and inertial frames.
  • Another participant agrees that defining both inertial frames and force using the first law is problematic, but proposes that force can be defined independently as the influence of one object on another.
  • Some participants argue that all three of Newton's laws are necessary for defining force and inertial frames, while others contend that the first law is primarily definitional.
  • A participant suggests that the second law introduces a quantitative relationship rather than new ideas, while another emphasizes that the second and third laws are testable physical theories.
  • There is a discussion about the nature of forces and how they are defined, with references to historical context and the limitations of Newton's original formulations.
  • One participant posits that concepts like force may ultimately be constructs of human understanding rather than absolute truths.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether Newton's first law is purely definitional or if all three laws are necessary for a complete understanding of force and inertial frames. Multiple competing views remain regarding the nature of these laws and the definitions involved.

Contextual Notes

Participants highlight the ambiguity in defining force and inertial frames, as well as the historical context of Newton's laws, which may not align with modern interpretations. There is also mention of the limitations of Newtonian mechanics in light of contemporary physics.

Who May Find This Useful

This discussion may be of interest to students and enthusiasts of physics, particularly those grappling with the foundational concepts of Newtonian mechanics and the philosophical implications of scientific definitions.

  • #31
Jano L. said:
When you put many heavy books on a plastic table, you will see that the table deforms. There is force between the table and the books, but no acceleration.

yes but the deformation happened because some of the points of the plastic table (the points under the books where the deformation happened) were accelerated abit and then they stop abit lower.
 
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  • #32
Delta² said:
yes but the deformation happened because some of the points of the plastic table (the points under the books where the deformation happened) were accelerated abit and then they stop abit lower.

Well, the forces present NOW shouldn't depend on what happened in the past. Right now, there are no accelerations. So if force is defined in terms of acceleration, then it would seem to imply that there are no forces right now.

I think that logically it makes more sense to let "force" be primitive, and to view "force cause accelerations" as a property of forces.
 
  • #33
stevendaryl said:
In the case of balancing forces, the TOTAL force is zero. But gravity still exerts a downward force, and the desk still exerts an upward force.

According to the second law there are corresponding changes of momentum that are balanced too.

stevendaryl said:
So force is not defined in terms of accelerations.

Acceleration is involved in the qualitative definition of force only.
 
  • #34
DrStupid said:
According to the second law there are corresponding changes of momentum that are balanced too.

Well, those component accelerations are not observable. If the point of defining F as ma is to define forces as things that are observable, then having unobservable accelerations defeats the purpose, I would think.

I suppose you could define force counterfactually as something that would cause mass m to accelerate at rate a, if there were no other forces at work.
 

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