When you can't use conservation of energy

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Discussion Overview

The discussion revolves around the application of conservation of energy principles in problem-solving, particularly in scenarios where energy conservation may not seem applicable, such as a roll of toilet paper dropping while being held. Participants explore the conditions under which conservation of energy can be used and the implications of external forces like tension.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant notes a recurring issue in applying conservation of energy laws, questioning if the tension force from holding the roll violates these laws.
  • Another participant suggests that the specific wording of the problem is crucial, indicating that phrases like "ignore friction" can signal when conservation of energy is applicable.
  • A different viewpoint emphasizes that while energy is always conserved, measuring certain forms of energy, such as sound energy from the roll falling, can be challenging.
  • It is mentioned that the conservation of mechanical energy depends on whether it can be considered conserved in the context of the problem.
  • One participant highlights the importance of defining the system boundary, stating that energy conservation applies in a closed system, but crossing system boundaries complicates the use of conservation equations.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of conservation of energy in specific scenarios, indicating that multiple competing perspectives exist regarding the conditions under which energy conservation can be reliably applied.

Contextual Notes

Participants note limitations related to the measurement of energy forms and the importance of problem context, such as system boundaries and external forces, which may affect the application of conservation laws.

lonewolf219
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I have noticed that I try to apply conservation of energy laws to solve various problems, and they don't always work. For example, this problem I'm doing now is a roll of toilet paper that drops to the floor while someone is holding the first sheet of paper.

Is it the presence of a tension force from the person holding the roll that violates conservation of energy? I keep making this same mistake
 
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It depends what you have done.
If you can show us how you attempted to solve the problem it would help.
The exact wording of the question is also important.
Questions like this usually say things like "ignore friction" as a clue to being able to use conservation of energy.
Energy can take a number of forms, and in the question you mention there is kinetic and potential.
The kinetic energy will be both rotational (the roll spins) and translational (it drops to the ground).
 
Energy is always conserved. But in some cases it is difficult to measure some forms of energy.

For example:it is rather difficult to measure the energy of the sound made when a roll of paper falls on the floor.
 
Indeed. I could have added that in questions of this type, it's whether or not you can consider mechanical energy to be conserved.
 
Where you draw your 'box' is also important. Energy is conserved in a closed system. But if you let energy cross the boundary of your box (your system), then you can't rely on those equations anymore.
 

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