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. `3sqrt(30mm)`
B. `3sqrt(20mm)`
C. `3sqrt(10mm)`
D. `3sqrt(50mm)`

Answer

C

Explanation

For maximum compression in spring either we can use centre of mass approach or energy approach, here we are using the second method.
Oscillation energy = Maximum elastic potential energy
`0.09=(1)/(2)kx_(m)^(2) Rightarrow x_(m)=3sqrt10m m`