Hooke's Law: Explaining Why Weight Changes Cause Different Spring Movement

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The observed discrepancy in spring extension under different weights suggests that the spring does not adhere strictly to Hooke's Law at higher loads. The k constant, which represents the spring's stiffness, appears to change with varying weights, indicating that the spring may yield or deform plastically under heavier loads. This behavior implies that the spring can exhibit linear elasticity for smaller weights but transitions to non-linear behavior as the load increases. A proposed experiment involves systematically adding weights and measuring extension to determine if the relationship remains linear or begins to curve at higher loads. This investigation could provide clearer insights into the spring's mechanical properties and behavior under different stress levels.
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How come a spring with applied weight of 1000 g goes down 9.8 cm but the same spring with applied weight of 500g goes only 3.7 cm down?

This is from my own lab that I preformed, and I need help in explaining why this occurs. I searched online but didn't get any clear answers, my only assumption at the moment is that k constant is the reason why this occurs, but I am not too sure.

The K values for the same spring is differnt when I calculate it, and I am confused on why that happens.
 
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Obviously the spring doesn't follow Hooke's Law completely. More than likely it is following Hooke's Law for small loads but it starts to yield at higher loads.
 
An interesting experimental followup would be to take the same spring and put 100g, 200g, 200g, ... 900g on it, measure the amount of extension for each, and plot a graph. Does it start out as more or less a straight line, and then start to curve with larger weights, or does it curve all the way?
 
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