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i have looked up in the internet and it appears that hookes law does not apply for forces of less than 1
Let's forget the spring. Take a piece of wire. Add 1 gram load to it. It definitely does not extend. Thus the graph will never pass through (0,0).
http://www.covenantchristian.org/bird/Smart/Physics1/Hooke's%20Law%20Lab.doc [Links inactive - To make links active and clickable, login or click here to register] -More experimental proof at the above website.