In the figure shown initially spring is in relaxed state and blocks are at rest. Now \( 100 \mat...

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In the figure shown initially spring is in relaxed state and blocks are at rest. Now \( 100 \mathrm{~N} \) force is applied on block \( A \) and \( B \) as shown in figure. After some time velocity of ' \( A \) ' becomes \( 2 \mathrm{~m} / \mathrm{s} \) and that of ' \( B \) ' \( 4 \mathrm{~m} / \mathrm{s} \) and block \( A \) displaced by amount \( 10 \mathrm{~cm} \) towards left and spring is stretched by amount \( 30 \mathrm{~cm} \). Then work done by spring force on \( A \) is \( W_{0} \) joule. Find \( \left|W_{0}\right| \) (in J).
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