Answer: the velocity of the center of mass of the two block is v.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
vcm = [ m1v1 + m2v2] / (m1+m2)
Where:
vcm =velocity of the center of mass
m1 = mass 1 , m2 = mass2
v1 = velocity 1; v2= velocity 2
Replacing with the values given:
vcm = ( 2(4v) - 3v) / (2+3) = (8v-3v) /5 = 5v/5 = v
The velocity of the center of mass of the two block is v.
Feel free to ask for more if needed or if you did not understand something.