Where did I go wrong in deriving potential energy?

[71GA]

Hello, i am trying to derive flexible energy, but i get a negative sign in front of a Work (A). Where did i miss?
F is force of a spring. I don't know if i used Hooke's law correctly...

Thank you for looking.

 

[rcgldr]

Nomrally, potential energy is the negative of the work performed by some force in moving some object from one point to another.

http://en.wikipedia.org/wiki/Potential_energy

 

[71GA]

Nomrally, potential energy is the negative of the work performed by some force in moving some object from one point to another.

http://en.wikipedia.org/wiki/Potential_energy

I am sorry i miss write... it is about flexible energy :)

 

[nasu]

I think you mean "elastic energy". And the elastic energy is a form of potential energy.
What you calculate is the work done by the elastic force between the points 1 and 2. This is equal to -(U2-U1).

 

[PJC01]

It is important to first check your equations and make sure you are using them correctly. In this case, it seems like you may have made a mistake in your application of Hooke's law. Remember that the force of a spring is equal to the spring constant (k) multiplied by the displacement (x).

In order to properly derive potential energy, you will need to use the correct equation for the force of a spring and integrate it with respect to displacement. This will give you the correct expression for potential energy.

It is also important to note that potential energy is a scalar quantity, meaning it does not have a direction or a negative sign. So if you are getting a negative sign in front of your potential energy, it may indicate that you have made a mistake in your derivation or calculation.

I would recommend double checking your equations and seeking help from a colleague or mentor if needed. Deriving potential energy can be a complex process, but with careful attention and understanding of the underlying principles, you should be able to solve any issues you are encountering. Best of luck in your research!