A block \( \mathrm{C} \) of mass \( \mathrm{m} \) is moving with velocity \( \mathrm{v}_{0} \) a...

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A block \( \mathrm{C} \) of mass \( \mathrm{m} \) is moving with velocity \( \mathrm{v}_{0} \) and collides elastically with block A of mass \( m \) and connected to another block \( B \) of mass \( 2 \mathrm{~m} \) through spring of spring constant \( \mathrm{k} \). What is the value of \( k \), if \( x_{0} \) is compression of spring when, velocity of \( \mathrm{A} \) and \( \mathrm{B} \) is same?
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