Condition of the work energy theorem

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SUMMARY

The work-energy theorem applies under specific conditions in non-relativistic mechanics. It states that if a system is subjected to external forces, the total work done by these forces equals the increase in the system's total energy. Conversely, for an isolated system, the work done by internal forces results in changes to kinetic and potential energy, maintaining a constant total energy. The discussion highlights three interpretations of the theorem, but the accepted view emphasizes the role of external forces and the distinction between internal and external work.

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  • Understanding of non-relativistic mechanics
  • Familiarity with kinetic and potential energy concepts
  • Knowledge of external and internal forces
  • Basic grasp of energy conservation principles
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Hi,

After reading several resources about work and energy, I am confused about the conditions that should be satisfied in order to be able to apply work energy theorem. It seems that textbooks have different arguments about this issue. I can summarize what textbooks say in three different opinions about the condition to apply work energy theorem:

1) Work energy theorem is only applied to particles.
2) Work energy theorem should include both internal and external works.
3) The change in the system should be restricted to only kinetic energy.

Which is true? Which is accepted by the physics community?

Thanks in advance.
 
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There are more situations, hence more theorems.

In non-relativistic mechanics, these two are valid:

If the system is under action of external forces, total work done by these external forces equals to increase of total energy of the system.

If the system is isolated, total work done by internal forces equals to increase of kinetic energy of the system and also to decrease of potential energy, so the total energy is constant.
 

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