A system consists of two identical cubes, each of mass \( 3 \mathrm{~kg} \), linked together by ...

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A system consists of two identical cubes, each of mass \( 3 \mathrm{~kg} \), linked together by a compressed weightless spring of force constant \( 1000 \mathrm{Nm}^{-1} \). The cubes are also connected by a thread which is burnt at a certain moment. At what minimum value of initial compression \( x_{0} \) (in \( \mathrm{cm} \) ) of the spring will the lower cube bounce up after the thread is burnt through?
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