Question about springs in series

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Discussion Overview

The discussion revolves around the behavior of springs in series when subjected to a weight. Participants explore the compression of two identical springs in series compared to a single spring under the same load, focusing on the forces involved and the resulting distances of compression.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant presents a scenario where a single spring is compressed 5 inches by a 10-pound weight and questions how much two identical springs in series would compress under the same weight.
  • Another participant suggests leading questions to clarify the forces acting on the springs and the weight, emphasizing the need to consider equilibrium conditions.
  • There is a proposal that both springs in series would compress the same distance as the individual spring, leading to a total compression of 10 inches for the two springs combined.
  • A later reply discusses the relationship between force and compression in springs, indicating that the force exerted by the weight is balanced by the forces from the springs in equilibrium.
  • One participant confirms the understanding that the tension is the same throughout the springs and that both springs must shorten by the same amount to balance the force.

Areas of Agreement / Disagreement

Participants express some agreement on the principles of force and compression in springs, but there remains uncertainty regarding the total compression of the two springs in series, as different interpretations of the problem are presented.

Contextual Notes

The discussion does not resolve the mathematical relationship between the compression of springs in series and the total compression distance, leaving assumptions about the spring constant and other factors unaddressed.

Ovan
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Please help with this question, and if possible, please explain why.

If one spring is compressed 5 inches by a 10 pound weight. How much is two identical springs in series compressed by the same weight (total compressed distance)?
 
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I'll try to ask you questions to lead you to the correct answer.

First, the way I understand the problem you have 4 objects, the weight, top spring, bottom spring, ground. Assuming that nothing is accelerating, what forces act on each object?
 
The force of the weight.

And am I correct to understand that this force acts equally on each spring?
Which would mean that both springs (in series) are compressed the same distance as the individual spring is. Which in return would mean that the springs in series would be compressed a total distance of 10 inches(twice as much as the single spring).

Is this correct?
 
If one spring with a certain compression C exerts force F, then what force would be produced by two springs, each with compression C?
 
Ovan said:
The force of the weight.

And am I correct to understand that this force acts equally on each spring?
Which would mean that both springs (in series) are compressed the same distance as the individual spring is. Which in return would mean that the springs in series would be compressed a total distance of 10 inches(twice as much as the single spring).

Is this correct?

It is basically correct.

The weight acts on the top spring. In equilibrium, there is no acceleration, so that force is balanced by the force of the top spring on the weight.For that, the spring has to be shortened by ΔL=F/k. (F is the external force, the weight of the object)

The tension is the same in the whole spring, so the top spring acts with force F at the top of the bottom spring. The bottom spring balances that force in equilibrium, so it exerts F force on the top spring. For that it has to be shortened by ΔL=F/k.

ehild
 

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Thank you for your answer and explanation, much appreciated!
 

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