# Deriving potential energy

• 71GA
In summary, the conversation discusses the concept of flexible energy, also known as elastic energy, and how it relates to potential energy. The negative sign in front of the work performed by a force is due to this relationship. The conversation also mentions the use of Hooke's law in calculating elastic 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.

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rcgldr said:
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 :)

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).

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!

## What is potential energy?

Potential energy is the energy an object possesses due to its position or configuration in a force field. It is stored energy that has the potential to do work.

## What is the formula for calculating potential energy?

The formula for calculating potential energy is PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object.

## How is potential energy related to kinetic energy?

Potential energy and kinetic energy are two forms of energy that can be interchanged. When an object with potential energy starts to move, its potential energy is converted into kinetic energy. Likewise, when an object with kinetic energy comes to a stop, its kinetic energy is converted back into potential energy.

## What are some examples of potential energy?

Some examples of potential energy include a stretched rubber band, a compressed spring, a raised object, and a charged battery. Chemical, nuclear, and gravitational potential energy are also common examples.

## How can potential energy be increased or decreased?

Potential energy can be increased by increasing the mass or height of an object, or by increasing the strength of the force field. It can be decreased by decreasing the mass or height of an object, or by decreasing the strength of the force field.