What can I consider 'fundamental definitions'?

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Discussion Overview

The discussion revolves around the concept of "fundamental definitions" in the context of solving physics problems, particularly related to the motion of a satellite in orbit. Participants explore what constitutes a fundamental definition and how it relates to deriving other quantities, such as momentum, from given parametric equations.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions the meaning of "fundamental definitions" as used by their professor, particularly in relation to solving for momentum without explicit equations for it.
  • Another participant suggests that the definition of momentum itself could be considered fundamental, but this does not clarify which relationships are deemed fundamental for solving the problem.
  • A different participant expresses uncertainty about identifying fundamental relationships, indicating that without knowing how to solve the problem, it is challenging to determine what is fundamental.
  • One participant recommends asking the professor for clarification on what they mean by "fundamental definitions," noting that interpretations may vary among participants.

Areas of Agreement / Disagreement

Participants generally do not reach a consensus on what constitutes fundamental definitions or relationships, indicating that multiple competing views remain on the topic.

Contextual Notes

Participants express uncertainty regarding the criteria for distinguishing fundamental definitions from other relationships necessary for problem-solving, highlighting the potential for ambiguity in the professor's terminology.

oddjobmj
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What are considered fundamental definitions? For context, a question was posed where the prof. provided parametric equations for the motion of a satellite in orbit and said that we can use the provided equations, fundamental definitions, and no other equations to solve the problems.

What does that mean?

I thought I had an idea of what that meant but a part of the question asks for us to solve for momentum but none of the parametric equations contain momentum explicitly which means we have to use -some other relationship- to introduce momentum to the system of equations. So, I thought I would pose that question here and see what you guys think.
 
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Well, if the problem asks for "momentum", the definition of momentum would be pretty fundamental wouldn't it?
 
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Absolutely, but that doesn't help me work out what relationships are fundamental. I say this because if we suppose that all relationship that are necessary to solve the problem are fundamental we get nowhere because even then I can't know which are fundamental until I know how to solve the problem. Is it truly this arbitrary or is there some sort of distinction that I can use to at least make a reasonable argument that something is fundamental?
 
I'd ask your professor exactly what they mean by "fundamental definitions". Our opinions here could be entirely different from what he actually meant.
 
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