A spring with a force constant \( K \) obeys Hook's Law. It requires \( 4 \mathrm{~J} \) of work...

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A spring with a force constant \( K \) obeys Hook's Law. It requires \( 4 \mathrm{~J} \) of work to stretch it through \( 10 \mathrm{~cm} \) beyond its unstretched length. Calculate \( K \) and the extra work required to stretch it through additional \( 10 \mathrm{~cm} \).
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