Centre of mass, collision, momentum

AI Thread Summary
The discussion revolves around determining the maximum elongation of a spring connecting two blocks, m1 and m2, when a force F is applied to m1. It is noted that the maximum elongation occurs when both blocks move with the same velocity. The conservation of energy principle is suggested as a method to solve the problem, but participants express difficulty due to the complexity of the resulting equations. Further calculations and clarifications are requested to simplify the analysis. The conversation emphasizes the importance of understanding momentum and energy conservation in collision scenarios involving springs.
karanbir
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Two blocks m1 and m2 are connected by an ideal spring of force constant k. The blocks are placed on smooth horizontal surface. A horizontal force F acts on the block m1. Initially spring is relaxed, both the blocks are at rest.
What is maximum elongation of spring?

i think it would be when both the objects are moving with same velocity, so i applied law of conservation of energy but the equation has too many variables.
 
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