Two point masses m$1=$ m and m$2=2$m travel to the right with the same speed v$0$ towards a stationary rod with length L and

mass M $=9$m $($uniformly distributed$)$:

m$2$

m$1$

v$0$

v$0$

m$1$ collides with the top of the rod and m$2$ collides with the bottom. m$1$ and m$2$ stick to the rod. Select all correct statements.