Momentum and CollisionHard

Question

Shown situation find the maximum elongation in the spring. Neglect friction everywhere. Initially, the blocks are at rest and spring is up stretched 

Options

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Solution

By using reduced mass concept system van be reduced to
Where μ = = 2 and F1 =  Force on either block w.r.t centre of mass of the system
                = + (3m) acm = + (3m) = F
Now from work energy theorem, xm = Kxm2 ⇒ xm =

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