Will a spring constant always remain the same?

In summary, to hold the mass stationary at a distance of 30 cm from equilibrium, the person must apply a force of 10N in the opposite direction. This is because the force applied by the person must be equal and opposite to the force of the spring, which is given by Fs=kx.
  • #1
Pharris7
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0

Homework Statement


A Mass, M, is at rest on a frictionless surface, connected to an ideal horizontal spring that is unstretched. A person stretches the spring 30cm from equilibrium and holds it at this location by applying a 10N force. The spring is brought back to equilibrium and the mass connected in now 2M. If the spring constant is extended back 30 cm from equilibrium, what is the necessary force that must be applied by the person to hold the mass stationary there?


Homework Equations



Fs=kx


The Attempt at a Solution



Well if there is a force of 10N pulling to one side, then to keep the mass still, the same force must be applied in the opposite direction.

To me it seems like the change in mass doesn't matter.

Could someone confirm this for me,

thanks
 
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  • #2
Pharris7 said:

Homework Statement


A Mass, M, is at rest on a frictionless surface, connected to an ideal horizontal spring that is unstretched. A person stretches the spring 30cm from equilibrium and holds it at this location by applying a 10N force. The spring is brought back to equilibrium and the mass connected in now 2M. If the spring constant is extended back 30 cm from equilibrium, what is the necessary force that must be applied by the person to hold the mass stationary there?


Homework Equations



Fs=kx


The Attempt at a Solution



Well if there is a force of 10N pulling to one side, then to keep the mass still, the same force must be applied in the opposite direction.

To me it seems like the change in mass doesn't matter.

Could someone confirm this for me,

thanks
Correct; the mass doesn't matter in this case.
 

Related to Will a spring constant always remain the same?

1. What is a spring constant?

A spring constant, also known as a force constant or stiffness, is a physical property of a spring that describes its ability to resist deformation when a force is applied.

2. Does the spring constant change with the length of the spring?

No, the spring constant is a constant value that remains the same regardless of the length of the spring. It is determined by the material and shape of the spring and is not affected by its length.

3. Can the spring constant change over time?

In most cases, the spring constant does not change over time. However, if the spring is subjected to extreme conditions, such as high temperatures or excessive force, it may experience permanent deformation and its spring constant may change.

4. Is the spring constant affected by the weight of the object attached to the spring?

No, the spring constant is not affected by the weight of the object attached to the spring. It is solely determined by the properties of the spring itself.

5. Are there any factors that can affect the spring constant?

Yes, the spring constant can be affected by changes in temperature, material fatigue, and external forces such as gravity or friction. However, under normal conditions, the spring constant remains constant.

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