Constant Force: Energy Conservation & Path Independence

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Discussion Overview

The discussion centers around the nature of constant forces, specifically whether they are conservative and if they conserve mechanical energy in all cases. Participants explore the implications of path independence and the role of friction in these scenarios.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants argue that work done by constant forces is conservative because the force can be taken out of the integral and does not depend on the path.
  • Others challenge this view, suggesting that not all constant forces are conservative, citing friction as an example where the force is not conservative due to its dependence on the path taken.
  • A participant questions whether being a constant force inherently means it is conservative, particularly in the context of friction changing direction based on different paths.
  • One participant asserts that a force must be constant for all paths to conserve energy, indicating that friction is only constant along straight paths.

Areas of Agreement / Disagreement

Participants express differing views on whether constant forces are always conservative and whether they conserve mechanical energy in all cases. The discussion remains unresolved with multiple competing perspectives presented.

Contextual Notes

There are limitations regarding definitions of conservative forces and the specific conditions under which forces are considered constant. The discussion highlights the need for clarity on these concepts.

harambe
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I had an argument with my friend regarding constant forces.He said that work done by constant forces are conservative as we can take the force out of the integral and it doesn't depend on the path .But the fact that this information is not given in my textbook as well as by teachers makes me doubt it. Do Constant forces conserve mechanical energy at every case and are really path independent
 
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harambe said:
I had an argument with my friend regarding constant forces.He said that work done by constant forces are conservative as we can take the force out of the integral and it only depends on the path .But the fact that this information is not given in my textbook as well as by teachers makes me doubt it. Do Constant forces conserve mechanical energy at every case and are really path independent
I think that's far too much of a generalisation. Pushing against a constant friction force (a common situation) is hardly conservative.
 
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So being a constant force doesn't mean that it is conservative right then?

Also friction would probably change direction at different paths so will it be alright to call it constant force for this case
 
harambe said:
He said that work done by constant forces are conservative as we can take the force out of the integral and it only depends on the path .

By definition, work done by conservative forces should not depend on the path.
 
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That would be my mistake...Sorry
 
harambe said:
Do Constant forces conserve mechanical energy at every case and are really path independent
A force that is constant for all paths does conserve energy. The reason the friction force mentioned by @sophiecentaur is not conservative is that it is only constant if the path is straight. It is not constant for other paths.
 
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So as long as the constant force is constant for every path then it will be able to conserve energyThanks .I get it now
 

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