Question

The velocity of center of mass of system of blocks $A,B$ & $C$ is :

• A. $v_0$
• B. $\frac{3v_0}{5}$
• C. $\frac{2v_0}{5}$
• D. $\frac{v_0}{2}$

Answer 1

The correct option is B $\frac{3v_0}{5}$

Since, the velocity of all the blocks is the same at maximum compression.

Apply conservation of momentum, just before the collision and at the time of compression, it is given as,

$m{v}_0+2m{v}_0=5m\times v$

$v=\frac{3v_0}{5}$

Thus, the velocity of the center of mass of the system of blocks A, B and C is $\frac{3v_0}{5}$.