The system of the wedge and the block connected by a massless spring as shown in the figure is released with the spring in its natural length. Friction is absent. maximum elongation in the spring will be

37-609

  • A

    $\frac{{3Mg}}{{5k}}$

  • B

    $\frac{{6Mg}}{{5k}}$

  • C

    $\frac{{4Mg}}{{5k}}$

  • D

    $\frac{{8Mg}}{{5k}}$

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  • [JEE MAIN 2022]

A container of mass $m$ is pulled by a constant force in which a second block of same mass $m$ is placed connected to the wall by a mass-less spring of constant $k$. Initially the spring is in its natural length. Velocity of the container at the instant compression in spring is maximum for the first time :-
 

$A$ block of mass $m$ moving with a velocity $v_0$ on a smooth horizontal surface strikes and compresses a spring of stiffness $k$ till mass comes to rest as shown in the figure. This phenomenon is observed by two observers:

$A$: standing on the horizontal surface

$B$: standing on the block 

To an observer $A$, the work done by spring force is