How Newton approximated force as change of momentum?

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Discussion Overview

The discussion revolves around the physical interpretation of force as the change in momentum over time, exploring its implications and the conceptual understanding of energy. Participants seek clarity on these concepts without relying heavily on mathematical equations.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions why Newton defined force as the change in momentum per time and seeks a physical interpretation of this concept.
  • Another participant emphasizes the importance of mathematical relationships in understanding physics, suggesting that equations provide clearer descriptions than verbal explanations.
  • A different viewpoint suggests that instead of defining force, it may be more useful to consider its application, specifically how it relates to the conservation of momentum and the interactions between objects.
  • One participant notes that definitions can be chosen to capture intuitive notions of force, indicating that different definitions may highlight various aspects of the concept.
  • A participant requests an explanation of how the equation f=dp/dt effectively conveys meaning compared to longer descriptions, seeking insight into the logic behind this formulation.
  • Another participant asks for clarification on the concept of momentum itself, indicating a desire for deeper understanding.

Areas of Agreement / Disagreement

Participants express differing views on the best way to understand force and momentum, with no consensus reached on a singular interpretation or definition. The discussion remains unresolved regarding the clarity and utility of mathematical versus verbal explanations.

Contextual Notes

Participants express uncertainty about the physical meanings of force and momentum, indicating a reliance on definitions that may vary in interpretation. The discussion highlights the challenge of conveying complex concepts without resorting to mathematical formulations.

joseph_seb
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why Newton had taken force as change in momentum per time?
i mean i need to get physical interpretation?what is this force actually?
also help me to get an idea about energy in sense(core concept)?
not with some equations?
i see these equations every time?but didn't know meanining?
somebody please help with these or give the name of texts which i should refer to?
 
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If you are going to get a good grasp of Physics then you will have to, at some point, start to see the mathematical relationships between quaitities as the best way of describing what goes on. An equation (particularly a simple one) states what happens so much better than a long sentence involving instances and examples.
If you look at Wiki (or all over the Web, in fact) for statements about Newton's Laws then they always end up with a bit of Maths. Just do a search and read as many links as you can.

(A form of) Calculus was invented by Newton in order to discuss the way that things vary in a concise way and differential Calculus describes so many processes very well. The "physical interpretation" that you seek may not always be there for some, even elementary relationships. If you are in a position to get hold of the elements of Maths and Calculus then you would find that approach very useful. The 'feeling' for Physics tends to follow the Maths, rather than the other way round.
 
Instead of asking what force is, consider what force is used for. The sum of forces is the change in momentum over time. That's not an approximation. The concept of force let's us express the conservation of momentum in another way. It's useful for decomposing the change in momentum of an object into the sum of contributions coming from other objects. Between each pair of objects, you have an equal and opposite force between them. As such, force represents a transfer of momentum between two objects.
 
It's a case of choosing your definitions so as to best capture your intuitive notion of "force" or whatever you want to describe. In the end all you can deal with is the relationships between the quantities you have defined, and there may be other similar definitions which capture other aspects of the intuitive notions you have in mind.
 
@sophiecentaur
you said, Calculus was invented by Newton in order to discuss the way that things vary in a concise way,ie,if it is integral calculus,it is the summation of continuous values represented by function,ie we it has a meaning;i'd like to get a simliar kinda explanation,ie,how the eqn f=dp/dt states what happens so much better than a long sentence involving instances and examples;ie,if u were the one to formulate this eqn, what is ur logic
 
@Khashishi
then what is momentum?
 

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