Work done by action and reaction

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Discussion Overview

The discussion centers around the concept of work done by action and reaction forces, particularly in scenarios involving magnets and rockets. Participants explore the implications of these forces in different contexts, including the effects of external constraints and reference frames. The conversation touches on theoretical and conceptual aspects of work in physics.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • One participant questions the general principle that when one body does negative work on another, the second body does an equal amount of positive work, using the example of two magnets repelling each other with one constrained by a wall.
  • Another participant argues that the force applied by the first magnet is also exerted on the wall, suggesting that the interaction involves multiple forces and that the work done is not simply positive or negative.
  • A different participant asserts that there is always some work done on both sides in interactions, regardless of observation.
  • One participant introduces the idea that electromagnetic fields can carry energy and momentum, implying that energy transfer may not be equal between the magnets, as some energy could be absorbed by the fields.
  • Another participant discusses a rocket in space, suggesting that thrust can do positive work on both the rocket and the fuel, and contrasts this with an inelastic collision scenario where negative work results in zero kinetic energy.
  • It is proposed that the engine can do positive work on the rocket while doing negative work on the fuel, depending on the chosen reference frame, highlighting the relativity of kinetic energy and work.
  • One participant emphasizes that the relationship between positive and negative work is frame-dependent and only holds true instantaneously during acceleration.
  • A later reply expresses agreement with the previous point about the relativity of work and energy.

Areas of Agreement / Disagreement

Participants express differing views on the nature of work done by action and reaction forces, with no clear consensus reached. Some agree on the relativity of work depending on the reference frame, while others challenge the applicability of the general principle regarding positive and negative work.

Contextual Notes

The discussion includes various assumptions about reference frames and the nature of forces involved in different scenarios, which may not be fully articulated or resolved.

Yoka
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It is said in the test book that in general, when one body does negative work on a second body, the second body does an equal amount of positive work on the first body.

However, when consider two magnets repelling each other and there is also a normal force acted on one of magnets by a wall, so that it stays at rest while the other magnet moves away from it. The work done by the first magnet on the second is positive while the work done by the second magnet on the first magnet is zero.

Does that mean that work done by action and reaction is not relative to each other?
 
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No. The first magnet is applying a force on the one against the wall. If you take the wall out of the way, what would happen? The magnet would move further back of course. Whats happening here is that the force is being applied to the magnet, but the magnet is applying that force to the wall, and the wall applying an equal and opposite force as well. Does this answer your question?
 
Even in your example, there is evidence of simultaneous positive and negative works. The magnet is definitely pushed towards the wall and so it is also applying force on the wall itself.

The thing is that there is some sort work done on both sides (ALWAYS), whether you may be able to observe it or not

:biggrin:
 
It is important to know that EM fields can carry energy and momentum. So it is possible that the energy lost by one magnet is not equal to the energy gained by the other, in which case the remaining energy goes into the fields themselves.
 
I'm not sure about the negative versus positive work reaction. In the case of a rocket in space, starting with the rocket's initial velocity as a frame of reference, so that the rockets velocity is zero, then thrust from the engine does positive work on the rocket, and positive work on the fuel, causing both to accelerate, and an increase in kinetic energy.

Reversing the situation, imagine two objects approaching each other in space, then experience an inelastic collision, resulting in negative work done on both objects, which end up with zero kinetic energy.
 
It is possible for the engine to do positive work on the rocket and negative work on the fuel. For example, in the reference frame where the rocket is moving forward at the exhaust velocity.
 
DaleSpam said:
It is possible for the engine to do positive work on the rocket and negative work on the fuel. For example, in the reference frame where the rocket is moving forward at the exhaust velocity.
That's part of what I was getting at. Kinetic energy is relative to some frame of reference, so the positive = negative work requires choosing a particular frame of reference, and only holds true for an instant in time if there are accelerations.
 
I agree completely.
 

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