Work function of conservative forces

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Discussion Overview

The discussion revolves around the relationship between work done by conservative forces and potential energy, as well as the connection between potential energy variations and the work function. It includes theoretical aspects of energy conservation and the definitions of potential energy and work function.

Discussion Character

  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants inquire about why the work done by conservative forces is equivalent to potential energy.
  • Others suggest that the variation of potential energy is equal to the variation of the work function, although this is contested.
  • One participant asserts that the conservation of energy principle explains the relationship between potential energy and kinetic energy changes.
  • A participant clarifies that the relationship between potential energy and work function is not straightforward and questions the definitions involved.
  • Another participant emphasizes that the correct relationship is one of equality rather than equivalence, noting the importance of sign in the equations.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between potential energy and work function, with some asserting equality and others suggesting a more nuanced connection. The discussion remains unresolved regarding the exact nature of these relationships.

Contextual Notes

There are limitations in the definitions and assumptions regarding potential energy and work function that are not fully explored in the discussion.

Eduardo Ascenso
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Could anyone help me with the following questions?

- Why is the work done by conservative forces equivalent to the potential energy?
- Why is the variation of the potential energy in such cases equals to the variation of the work function?

Thanks!
 
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Is this a homework question? You should ask this question in the appropriate forum then.
 
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The answer is conservation of energy. Whenever potential energy increases with force, a change in other types of energy must occur to balance everything out. The amount that potential energy increases is the same as the amount the kinetic energy increase.
 
Thank you for your reply. This is not a homework. I'm studying the conservation of energy in escleronomic systems subjected to conservative forces. All the books I've read only said that in such cases we have "-dV = dU", but they don't give any explanation about it. Searching a little bit, I saw that work function is the minimum energy necessary to remove an electron from the surface of a solid into the vacuum. What I didn't get is what's the relation between the removal of electrons and the variation of potential energy.
 
Eduardo Ascenso said:
Could anyone help me with the following questions?

- Why is the work done by conservative forces equivalent to the potential energy?
- Why is the variation of the potential energy in such cases equals to the variation of the work function?

Thanks!
Look at the definition of potential energy. How is the potential energy defined, mathematically?
And is not equivalence but equality, with the right sign.

The second part is not correct. The variation of potential energy may be equal to the work function (not its variation).
 

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