Determining Spring Constants in Different Gravity Environments

In summary, to determine the spring constant, k, in a static experiment, we use the expression k = (mass x gravity) / extension. This is applicable on Earth, but what about on the Moon or in zero gravity? In these cases, the spring is still stiff, but k has a lower value. It is believed that only the value of k derived from a horizontal experiment with mechanical loading can give us the true spring constant. Various methods can be used to apply a known force to the spring and determine its extension, such as hanging a known mass near a planet with known gravitational pull. K remains constant because it is a function of the intermolecular or atomic forces in the steel, and only the amount of displacement changes.
  • #1
polyperson
38
0
To determine the spring constant, k, in a static experiment (i.e. suspending weights from a spring) we use the following expression;

k = (mass x gravity) / extension

But what if I was on the Moon (where gravity is 1/6 that of Earth) or in part of space where there is zero gravity? The spring is no less stiff when an Astronaut attempts to push or pull it, yet k has a much lower value.

Is it true that only the value of k derived from a horizontal experiment with mechanical loading gives us the true spring constant?

Thanks for your help
 
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  • #2
The way to determine the spring constant is to apply a known amount of force (N) to the spring and see how far extends. You can do this by hanging a known mass near a planet with known gravitational pull or any other way that would let you know how much force you are applying to the spring. There're many ways to do this.
 
  • #3
Silly me. K remains constant because it is a function of the intermolecular or atomic forces in the steel. Only the amount of displacement changes!

Not quite sure about the period of the oscillations, though. Think it remains the same but with a smaller distance covered?
 

What is the purpose of determining spring constants in different gravity environments?

The purpose of determining spring constants in different gravity environments is to understand how the force of gravity affects the behavior of springs. This information can then be applied to various fields such as engineering, physics, and astronomy.

How is the spring constant affected by different levels of gravity?

The spring constant is directly affected by the level of gravity. As the force of gravity increases, the spring will compress or extend more, resulting in a larger spring constant. Similarly, in lower gravity environments, the spring will compress or extend less, resulting in a smaller spring constant.

What factors can affect the accuracy of determining spring constants in different gravity environments?

There are several factors that can affect the accuracy of determining spring constants in different gravity environments. These include the precision of the equipment used, external forces acting on the spring, and the variations in the gravitational field at different locations.

Can the spring constant be calculated in any gravity environment?

Yes, the spring constant can be calculated in any gravity environment. However, the value may differ depending on the level of gravity and the specific conditions of the environment. It is important to take these factors into account when determining the spring constant.

What are some practical applications of understanding spring constants in different gravity environments?

The understanding of spring constants in different gravity environments has practical applications in various fields. For example, it can be used to design and calibrate instruments for space exploration, determine the stability of structures in different environments, and understand the behavior of springs in industrial machinery.

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