Does the Spring Continue to Stretch Indefinitely Beyond the Elastic Limit?

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The discussion centers on the behavior of a spring beyond its elastic limit. It clarifies that after reaching this limit, the spring can stretch significantly more than predicted by Hooke's law and will not return to its original length once the weight is removed. Participants agree that while the spring may eventually become a straight wire, the graph in question is not intended to extend that far. The consensus is that the curve representing the spring's behavior after the elastic limit aligns with the red curve in the provided diagram. Overall, the conversation emphasizes the complexities of spring behavior under extreme conditions.
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Homework Statement


The Attempt at a Solution



attachment.php?attachmentid=48336&stc=1&d=1339683530.png

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Its question 1 A (III) I don't understand.

I have included a copy of the question paper and the mark scheme.

I understand the continuation of the straight line up to 800N however after does the line curve like the blue / red one on my diagram?

I would have thought it should have leveled off at a constant length as after the spring is past the elastic limit it will only stretch so far before it turns into a straight bit of wire?

The mark scheme would suggest that the spring should continue to stretch to infinity as more weights are added?

Thanks
Al
 

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Once past the elastic limit the spring may stretch way more than per Hooke's law. And it won't return to it's unstretched length once the weight is removed. You are correct, of course, that at some point the spring may unravel and be nothing but a straight wire. I don't think they intend for the graph to go that far.
 
Doc Al said:
Once past the elastic limit the spring may stretch way more than per Hooke's law. And it won't return to it's unstretched length once the weight is removed. You are correct, of course, that at some point the spring may unravel and be nothing but a straight wire. I don't think they intend for the graph to go that far.

So its the Red curve then?
 
rollcast said:
So its the Red curve then?
Yes, that's what I would say.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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