An ideal spring is connected between two bloc | vedclass

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(D) $1$. Since the system is on a smooth horizontal table and there are no external horizontal forces,the net external force on the system is zero. Th

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$a, b$ and $c$

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(D) $1$. Since the system is on a smooth horizontal table and there are no external horizontal forces,the net external force on the system is zero. Therefore,the linear momentum of the system is conserved.$2$. Initially,the system is at rest,so the total momentum is $0$. Thus,$Mv_M + mv_m = 0$,which implies $Mv_M = -mv_m$. This shows that the blocks move in opposite directions with speeds inversely proportional to their masses $(v \propto 1/m)$. Statement $(a)$ is true.$3$. Since the ratio of speeds is $\frac{v_M}{v_m} = \frac{m}{M}$,which is a constant ratio of the masses,statement $(b)$ is also true.$4$. The spring force is an internal conservative force. Since there is no external work done on the system,the total mechanical energy (kinetic + potential) of the system is conserved. Statement $(c)$ is true.$5$. Therefore,all statements $(a), (b),$ and $(c)$ are correct.

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