A spring of spring constant \( 5 \times 10^{3} \mathrm{~N} / \mathrm{m} \) is stretched initiall...

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A spring of spring constant \( 5 \times 10^{3} \mathrm{~N} / \mathrm{m} \) is stretched initially by \( 5 \mathrm{~cm} \) from the unstretched position. Then the work required to stretch it further by another \( 5 \mathrm{~cm} \) is
[AIEEE 2003]
(a) \( 6.25 \mathrm{~N}-\mathrm{m} \)
(b) \( 12.50 \mathrm{~N}-\mathrm{m} \)
(c) \( 18.75 \mathrm{~N}-\mathrm{m} \)
(d) \( 25.00 \mathrm{~N}-\mathrm{m} \)
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