Question
What is the elastic potential energy stored in a spring when its length is 0.150 m?
Answers
GPT-4o mini
To calculate the elastic potential energy stored in a spring, we use the formula:
\[
\text{Elastic Potential Energy} (EPE) = \frac{1}{2} k x^2
\]
where:
- \( k \) is the spring constant (in N/m),
- \( x \) is the displacement of the spring from its equilibrium position (in meters).
However, from your question, we only have the length of the spring (0.150 m), not the displacement or the spring constant. To find the elastic potential energy, we need additional information:
1. The natural (uncompressed or unstretched) length of the spring, in order to determine how much it has been stretched or compressed (\( x \)).
2. The spring constant \( k \).
If you can provide either the spring constant or the amount of stretch/compression from its natural length, we can calculate the elastic potential energy.
\[
\text{Elastic Potential Energy} (EPE) = \frac{1}{2} k x^2
\]
where:
- \( k \) is the spring constant (in N/m),
- \( x \) is the displacement of the spring from its equilibrium position (in meters).
However, from your question, we only have the length of the spring (0.150 m), not the displacement or the spring constant. To find the elastic potential energy, we need additional information:
1. The natural (uncompressed or unstretched) length of the spring, in order to determine how much it has been stretched or compressed (\( x \)).
2. The spring constant \( k \).
If you can provide either the spring constant or the amount of stretch/compression from its natural length, we can calculate the elastic potential energy.