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You will know that the limit of elasticity of the spring has been reached by adding more and more masses, the spring is no longer stretching linearly.
According to Hooke's law, within the elastic limit of a spring, the stretching force is directly proportional to the extension.
As long as this is true, the spring will continue to stretch linearly as more masses are added.
When the elastic limit of the spring has been attained, adding more and more masses no longer leads to a linear stretching of the spring.
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