Two identical blocks A and B, each of mass `m=3kg`, are connected with the help of an ideal spring and placed on a smooth horizontal surface as shown in Fig. Another identical blocks C moving velocity `v_0=0.6(m)/(s)` collides with A and sticks to it, as a result, the motion of system takes place in some way
Based on this information answer the following questions:
Q. After the collision of C and A, the combined body and block B would

Options

A. Oscillate about centre of mass of system and centre of mass is at rest
B. Oscillate about centre of mass of system and centre of mass is moving
C. Oscillate but about different locations other than the centre of mass
D. Not oscillate

Answer

B

Explanation

As C collides with A and sticks to it, the combined mass moves rightward to compress the spring and hence B moves rightwards due to the spring force, i.e., B accelerates and the combined mass decelerates. The deformation in the spring changing and the centre of is mass of the system continues to move rightwards with constant speed, while both the blocks oscillate about centre of mass of the system.