Understanding Parallel Springs & the Equal Extension Assumption"

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In the discussion on parallel springs, the effective spring constant is derived using the formula keff = k1 + k2, which assumes equal extension in the springs. This assumption is based on the scenario where two adjacent blocks connected by springs are pulled apart, causing both springs to stretch equally. The equal extension is crucial for the derivation, as it simplifies the analysis of the system's behavior under tension. The rationale is that when the blocks are pulled evenly, the forces acting on both springs are balanced, leading to uniform extension. Understanding this concept is essential for accurately analyzing systems involving parallel springs.
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When springs in parallel are replaced by a new spring of a new effective spring constant, for the proof of this, i.e
keff=k1+k2​

Why do we assume the extension in the springs to be equal?
 
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If you imagine two adjacent blocks being held together by two springs, if you stretch the blocks apart, the springs stretch equally.
 
In the attachment, why is the extension of the springs same?
 

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For the sake of the derivation, you assume that the little block is pulled evenly so that both springs are extended the same amount.
 

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