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Maximum compression of a spring between two moving blocks

This type of question, asked 2 times: 2021 Paper 8, 26 Jul 2022. All 2 questions below, oldest first.

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  1. Question 1

    2021 Paper 8

    16
    Two identical blocks AA and BB each of mass mm resting on the smooth horizontal floor are connected by a light spring of natural length L and spring constant K. A third block C of mass mm moving with a speed vv along the line joining AA and BB collides with A. The maximum compression in the spring is

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  2. Question 2

    26 Jul 2022

    17
    As per the given figure, two blocks each of mass 250 g250\text{ }g are connected to a spring of spring constant 2Nm−12Nm^{- 1}. If both are given velocity vv in opposite directions, then maximum elongation of the spring is:

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