Step 1:

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The spring has a natural length of 25 cm = 0.25 m.

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Force required to stretch a spring to length of 32 cm is 3.5 N.

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Assume that the spring obeys Hookes law.

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Hooke law : \"\" where x is the extension of the spring.

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\"\"

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Therefore the spring constant is k = 50.

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Step 2:

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Find the work done to stretch a spring of length of 30 cm to 45 cm.

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Work done by the spring : \"\".

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Force required in moving an object to a distance of x is \"\".

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Work done to stretch a spring of length of 30 cm to 45 cm.

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Natural length of the spring is 25 cm.

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Now calculate work done to stretch a spring of length of 5 cm to 15 cm.

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Work done to stretch a spring of length of 30 cm to 45 cm is 0.5 J.