Solved: According to Hooke’s Law, the force required to hold the spring stretched 𝑥 𝑚 beyond its natural length is given by 𝑓 ( 𝑥 ) = 𝑘 𝑥 , where 𝑘 is the spring constant.

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According to Hooke’s Law, the force required to hold the spring stretched 𝑥𝑚 beyond its natural length is given by 𝑓(𝑥)=𝑘𝑥, where 𝑘 is the spring constant.
Suppose that 12𝐽 of work is needed to stretch a spring from 15𝑐𝑚 to 19𝑐𝑚 and another 20𝐽 is needed to stretch it from 19𝑐𝑚 to 23𝑐𝑚. Find the exact value of 𝑘, in 𝑁𝑚.
𝑘= ◻ 𝑁𝑚
What is the natural length of the spring, in 𝑐𝑚 ?

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