What is with the law of conservation of momentum?

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Discussion Overview

The discussion revolves around the law of conservation of momentum, particularly in the context of a person throwing punches while standing on the Earth. Participants explore the implications of internal and external forces on momentum conservation, questioning whether the momentum of the arm alone can be considered without accounting for the entire system, including the Earth.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant suggests that the changing momentum of the arm while throwing punches indicates a potential violation of the law of conservation of momentum.
  • Another participant counters that the total momentum of the person-Earth system is conserved, not just the momentum of the arm.
  • A participant questions the state of the rest of the body and the Earth, implying they are at rest.
  • Another participant argues that the Earth does move slightly in response to the action of throwing punches.
  • One participant challenges the idea that there are no forces acting on the Earth, explaining that the action of the arm creates an equal and opposite reaction on the Earth, in line with Newton's 3rd law.
  • A later reply suggests that performing the same action on a skateboard would demonstrate the motion more clearly.

Areas of Agreement / Disagreement

Participants express disagreement regarding the interpretation of momentum conservation in this scenario, with no consensus reached on whether the momentum of the arm can be considered independently of the entire system.

Contextual Notes

Some assumptions about the state of the Earth and the forces involved are not fully explored, and the discussion does not resolve the nuances of how internal and external forces interact in this context.

siddharth5129
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Consider a scenario where someone stands on the surface of the Earth and throws punches into the air. Now all the forces(which i am taking to be the tension in the muscle fibres of the arm ) acting on the system of man and Earth are internal ( internal because they are exerted by one component within the system on another component within the system.) , but the momentum of this dude's arm is constantly changing. Anyone else see a violation of the law of conservation of momentum. What am i missing here?
 
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siddharth5129 said:
but the momentum of this dude's arm is constantly changing. Anyone else see a violation of the law of conservation of momentum. What am i missing here?
You're forgetting about the momentum of the rest of his body and the Earth itself. Total momentum of the person-earth system is conserved, not the momentum of his arm alone.
 
Yes but the rest of his body and the Earth are at rest , aren't they?
 
siddharth5129 said:
Yes but the rest of his body and the Earth are at rest , aren't they?
No. The Earth moves, ever so slightly.
 
How exactly , there aren't any forces on the earth.
 
siddharth5129 said:
How exactly , there aren't any forces on the earth.
Sure there are. If you push on the arm to give it momentum, the arm pushes back on you (and the earth) giving you and the Earth equal and opposite momentum. That's Newton's 3rd law.
 
Try the same thing while standing on a skateboard and you'll see the motion.
 

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