Understanding the Relationship Between Force and Momentum: F=dp/dt Explained

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The discussion centers on the relationship between force and momentum, specifically the equation F=dp/dt, which is presented as a fundamental definition in modern physics. Participants clarify that while F=ma applies to systems with constant mass, F=dp/dt is more general and essential for understanding dynamics in varying mass systems, such as rockets. The historical context of Newton's formulation is emphasized, noting that he originally expressed force in terms of momentum change. There is debate over whether F=dp/dt should be considered a definition or an empirical law, with some arguing it is an axiom of classical mechanics. Ultimately, the conversation highlights the importance of understanding momentum and force in both classical and modern physics frameworks.
  • #61
What's the lagrangian you're using?
 
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  • #62
Physics Monkey said:
This factor is important because it allows you to set the rest of the integrand to zero (in general, just because the integral of a function is zero doesn't mean the function is zero). Hope this helps.
By the way, you wouldn't happen to go to Georgia Tech would you?
Thanks for the part in bold, I was actually looking at what I'd written after wondering why it wasn't \delta{S} = constant.
As for your question, I go to NUI Maynooth in Ireland.
What's the lagrangian you're using?
A general one for a conservative force.
 

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