What is the Elastic Potential Energy Stored in a Compressed Spring?

In summary, elastic potential energy is a type of potential energy that is stored in an object when it is stretched or compressed. It is calculated using the formula E = 1/2kx^2, where E is the elastic potential energy, k is the spring constant, and x is the displacement from the equilibrium position. The spring constant is directly related to the amount of elastic potential energy an object has. Elastic potential energy can be converted into other forms of energy, such as kinetic energy, thermal energy, or sound energy. Real-life examples of elastic potential energy include compressed springs, stretched rubber bands, bungee cords, and diving boards.
  • #1
kelly242
13
0

Homework Statement



A force of 5.00 N compresses a spring 5.00 cm. What is the elastic potential energy stored in the compressed spring?

Homework Equations



Ep=1/2kx2

The Attempt at a Solution



Epelastic needs to calculated. I really do not know how to get there. K=f/x
k=5N/ 0.05m
100 N/m
the answer is actually 0.125 J
 
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  • #2
So now you know k, and all that is left is...
 

Related to What is the Elastic Potential Energy Stored in a Compressed Spring?

What is elastic potential energy?

Elastic potential energy is a form of potential energy that is stored in an object when it is stretched or compressed. It is the energy that an elastic object, such as a spring or rubber band, has due to its deformation.

How is elastic potential energy calculated?

The formula for calculating elastic potential energy is E = 1/2kx^2, where E is the elastic potential energy, k is the spring constant, and x is the displacement from the equilibrium position.

What is the relationship between elastic potential energy and the spring constant?

The spring constant, k, is a measure of the stiffness of an elastic object. The higher the spring constant, the more energy is required to stretch or compress the object, resulting in a greater amount of elastic potential energy.

Can elastic potential energy be converted into other forms of energy?

Yes, elastic potential energy can be converted into other forms of energy, such as kinetic energy, thermal energy, or sound energy, depending on the situation. For example, when a compressed spring is released, its elastic potential energy is converted into kinetic energy as it returns to its original shape.

What are some real-life examples of elastic potential energy?

Some common examples of elastic potential energy include a compressed spring in a toy car, a stretched rubber band, a bungee cord before it is released, and a diving board before a diver jumps on it. These objects all have the potential to do work or cause movement due to their stored elastic potential energy.

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