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Work Done When Force Is Varying

A spring requ...

Question

A spring required $4 J$ of work be stretched through $10 c m$ .Find the spring Constant.

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Solution

Work done $= \frac{1}{2} K X^{2}$
$\frac{1}{2} K {(\frac{10}{100})}^{2} = 4$
$\frac{K}{2} \times \frac{1}{100} = 4$
$K = 800 N m^{- 1}$

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