Time Derivative of Force: What is the Missing Variable?

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Discussion Overview

The discussion revolves around the concept of the time derivative of force, exploring its definition and potential applications. Participants engage in clarifying the relationship between force, momentum, and the proposed time derivative of force, often referred to as "jerk" or "jolt." The conversation touches on theoretical implications and practical relevance.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant states that momentum is the time derivative of force, prompting clarification from others.
  • Several participants assert that the time derivative of force does not have a specific name and is not commonly used.
  • Questions are raised regarding the practical applications of the time derivative of force, with some participants expressing uncertainty about its usefulness.
  • There is a correction regarding the relationship between force and momentum, with participants agreeing that force is the time derivative of momentum.

Areas of Agreement / Disagreement

Participants generally agree that force is the time derivative of momentum. However, there is disagreement and uncertainty regarding the existence and utility of the time derivative of force.

Contextual Notes

The discussion highlights a lack of consensus on the naming and practical applications of the time derivative of force, as well as potential misunderstandings in the relationships between the concepts involved.

Isaac0427
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So I know that momentum is the time derivative of force, but what is the time derivative of force? That is, p=mv, f=ma, ?=mj (if j is jerk/jolt). Thanks!
 
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It doesn't have a name. It isn't often useful, so it hasn't been worth naming.
 
DaleSpam said:
It doesn't have a name. It isn't often useful, so it hasn't been worth naming.
Does it have any practical uses?
 
Isaac0427 said:
momentum is the time derivative of force
I'm sure you meant to say "force is the time derivative of momentum"!
 
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DrGreg said:
I'm sure you meant to say "force is the time derivative of momentum"!
Yes. It was a mistake.
 
Isaac0427 said:
Does it have any practical uses?
Not that I am aware of.
 

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