A block with mass M is connected by a massless spring with stiffness constant k to a rigid wall and moves without friction on a horizontal surface. The block oscillates with small amplitude A about an equilibrium position $$x_0$$. Consider two cases:
(i) when the block is at $$x_0$$; and
(ii) when the block is at $$x = x_0 + A$$.
In both thecases, a particle with mass m(< M) is softly placed on the block after which they stick to each other. Which of the following statement(s) is(are) true about the motion after the mass mis placed on the mass M ?