Is energy profile of a spring asymmetric with +x and -x?

In summary, the conversation discusses a problem with part b(ii) of an A level question, where only elementary concepts should be used. The equation E = 1/2kx^2 is provided. The attempt at a solution suggests that EPE should be max at 0, 0.4, and 0.8, but the mark scheme only accepts 0 and 0.8. The question also considers the elastic potential energy of a spring when the mass is hanging at rest and clarifies that the spring does have elastic potential energy.
  • #1
Aliasa
16
1

Homework Statement


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The problem is with part b(ii). This is an A level question so only elementary concepts are to be used.

Homework Equations


$$E = \frac{1}{2}kx^2 $$

The Attempt at a Solution



EPE should be max at 0, 0.4, 0.8 since E is a function of $x^2$. However, mark scheme only accepts 0 and 0.8 only. It is my understanding that energy profile of a spring is symmetric under compression and expansion, but if so, why is 0.4 not acceptable?
 

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  • #2
When the mass is hanging at rest as in part (a), does the spring have any elastic potential energy?
 
  • #3
Ah, right, I missed that. Thanks!
 

Related to Is energy profile of a spring asymmetric with +x and -x?

1. What is an energy profile of a spring?

An energy profile of a spring is a graph that shows the relationship between the potential energy of a spring and its displacement from its equilibrium position. It is a useful tool for understanding the behavior and properties of a spring.

2. How is the energy profile of a spring related to its asymmetry with +x and -x?

The energy profile of a spring is symmetric when it is compressed and stretched by the same amount. This means that the potential energy at +x and -x is the same. However, when a spring is asymmetric, the potential energy at +x and -x is different, indicating a difference in the behavior of the spring.

3. What factors can contribute to the asymmetry of a spring's energy profile?

Several factors can contribute to the asymmetry of a spring's energy profile, such as the material properties of the spring, its shape and size, and the applied force or load. Additionally, external factors such as temperature and environmental conditions can also affect the symmetry of a spring's energy profile.

4. How does the asymmetry of a spring's energy profile affect its performance?

The asymmetry of a spring's energy profile can affect its performance in several ways. For example, an asymmetric energy profile can lead to a non-linear relationship between the displacement and the applied force, making it more difficult to predict the behavior of the spring. It can also affect the spring's ability to store and release energy efficiently.

5. Can the asymmetry of a spring's energy profile be corrected?

In some cases, the asymmetry of a spring's energy profile can be corrected by adjusting the spring's design or material properties. However, in other cases, the asymmetry may be a natural characteristic of the spring and cannot be easily corrected. It is important to carefully consider the requirements and intended use of a spring to determine if its energy profile needs to be symmetrical or if asymmetry can be tolerated.

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