Could some people help to solve an arguement?

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Discussion Overview

The discussion revolves around the relationship between two forces, F and f, in a scenario involving a force applied to a system, particularly in the context of physics principles such as conservation of energy and the mechanics of rigid bodies. Participants explore whether f equals F, or if f can be expressed as F minus some loss of force, denoted as e. The conversation touches on concepts of linear force, torque, and energy analysis, with references to real-world applications and theoretical frameworks.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants argue that f should equal F, suggesting a complete transfer of force, while others propose that f equals F minus a loss of force (e), citing conservation of energy principles.
  • One participant emphasizes that F does not create force f but rather causes acceleration, indicating a need for an energy analysis to determine f.
  • Another participant questions whether F is an instantaneous force or a continuously applied one, suggesting that this distinction affects the relationship between F and f.
  • There are claims that the problem is too vague to yield a definitive answer, with some participants stating that the solutions provided do not make sense.
  • A later reply introduces the concept of equivalence theorems in rigid body mechanics, suggesting that the relationship between F and f could be clarified through these principles.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the relationship between F and f. Multiple competing views are presented, with some advocating for f=F and others for f=F-e. The discussion remains unresolved, with ongoing debate about the implications of force loss and the need for clearer problem definitions.

Contextual Notes

The discussion highlights limitations in the original problem's wording, which may lead to confusion regarding the specifics of the forces involved. Participants note the absence of certain details that would clarify the scenario, such as whether the forces are instantaneous or applied over time.

  • #31
F = dp/dt = d(m·v)/dt = m·a (in the case where m does not depend on t)
where

F is the force (a vector quantity),
p is the momentum,
t is the time,
v is the velocity,
m is the mass, and
a=d²x/dt² is the acceleration, the second derivative with respect to t of the position vector x.

If we examine the above formula and apply it to a real-world scenerio, such as a collision we begin to see clearly that the variables will change during an impact. In a simplistic scenario, velocity, momentum and acceleration would decrease in the colliding object, and increase in the object that it was in collision with.

This would result in a loss of force over the duration of the event by application of the conservation of momentum, which is a conservation of energy.

In essence, f=F-e.
 
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  • #32
MooMansun said:
If we examine the above formula and apply it to a real-world scenerio, such as a collision we begin to see clearly that the variables will change during an impact. In a simplistic scenario, velocity, momentum and acceleration would decrease in the colliding object, and increase in the object that it was in collision with.
This would result in a loss of force over the duration of the event by application of the conservation of momentum, which is a conservation of energy.
In essense, f=F-e.

This is bogus, because it is NOT universal. An object that is stationary at t=0, then then you have an explosive framentation where, for simplicity, you have two particles going in opposite directions. What was the energy of mechanics before? Zero. What was the momentum before? Zero. Yet, AFTER the fragmentation, you have a positive kinetic energy (where none was there before), and yet from conservation of momentum, it is STILL zero momentum for the whole system.

Conservation of momentum is NOT equal to conservation of energy. The energy generated here did NOT come out of mechanics. Any student in intro physics are painfully aware of this. So how can you argue that they are equal when one quantity is conserved while the other is not?

P.S. I still see you refuse to read the guidelines that you have agreed to. Be warned that you participation in here will end soon if you do not pay attention.

Zz.
 
  • #33
Read Wikipedeia's article it says that force is associated with the potential Energy field. That the potential energy's gradient is equal and opposite to the force defined at each point. Since as you might know Potential Energy is not the only type of Energy.
 
  • #34
Conservation of momentum is NOT equal to conservation of energy.

Momentum is another manifestation of energy. If momentum is being conserved, energy is being conserved. Period. Also, consider the point I make later very carefully.

P.S. I still see you refuse to read the guidelines that you have agreed to. Be warned that you participation in here will end soon if you do not pay attention.

I did agree to the terms several times.

Speculative posts containing personal opinions that are contrary to those currently held by the scientific community are against the Posting Guidelines of Physics Forums.

I'm not promoting a theory. I am asking can anyone prove that Force is not lost? I have heard a lot of claims that it is not, however, no proof or reference has been provided. As far as I am aware, you are only expressing a 'personal opinion' as well.

Also, I feel the fact that everything is a manifestion of Energy means that ALL results are subject to the conservation of energy.

I am not asking that you agree with it, only that it be considered with an open view.

Whilst in classical physics, or engineering, this may not present a problem, it would with quantum and numerous other disciplines.
 
  • #35
MooMansun said:
Momentum is another manifestation of energy. If momentum is being conserved, energy is being conserved. Period. Also, consider the point I make later very carefully.
I did agree to the terms several times.
I'm not promoting a theory. I am asking can anyone prove that Force is not lost? I have heard a lot of claims that it is not, however, no proof or reference has been provided. As far as I am aware, you are only expressing a 'personal opinion' as well.
Also, I feel the fact that everything is a manifestion of Energy means that ALL results are subject to the conservation of energy.
I am not asking that you agree with it, only that it be considered with an open view.
Whilst in classical physics, or engineering, this may not present a problem, it would with quantum and numerous other disciplines.

It appears as if you are completely ignoring inelastic collision. Explain THAT!

And you ARE promoting a "theory". You are promoting an idea in which energy is force. Where in a physics text is that ever mentioned? All you did was cite of Wikipedia and then make an erroneous interpretation.

And what other proof did you want? I just GAVE you an example of something that is done even in an undergraduate physics lab! Take two object connected by a compressed spring, originally at rest, and then release the two things! The energy in the MECHANICS of the situation isn't conserved, but momentum is!

In all of this, NOT ONCE have you ever mentioned of your awareness that

F = - \nabla U

Why is that?

Zz.
 

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