Finding the maximum displacement

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To find the maximum displacement of block A, the user initially applied the impulse-momentum theorem to determine the velocities of both blocks after a bullet escapes at 100 m/s. They then utilized the work-energy theorem, assuming that the work done by internal dissipative forces was negligible for maximum displacement. However, their calculations yielded a result significantly higher than expected, indicating a flaw in their assumption. The user is seeking guidance on how to proceed with the problem, emphasizing the need for a more detailed explanation of the solution process. Clarification on the correct approach is requested to resolve the discrepancies in their findings.
EddiePhys
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Homework Statement


IMG_20170829_095603_01.jpg

I want to find the maximum displacement of block A in the left direction

Homework Equations

The Attempt at a Solution



I first found the velocities of both blocks after the bullet escapes with 100m/s by using the impulse-momentum theorem.
I then applied the work-energy theorem for the system
For a maximum displacement, I assumed that work done by internal dissipative forces must have been tending to zero. Solving, I got an answer much greater than the correct answer which means my assumption was wrong.

I don't know how to proceed further
 
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Please show your work. It's not very helpful to only describe what you did.
 

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