Center of Mass of an Object A After Breaking

[lowqiumei]

Homework Statement

An Object A of mass M falls in a vertical plane under gravity. While it is in air, it breaks into two fragments, one having mass M/3 and the other having a mass of 2M/3. The center of mass of the broken fragments taken together shifts compared to that of the object A towards:

a. the fragment with mass M/3
b. the fragment with mass 2M/3
c. Depends on the height of breaking
d. Does not shifts
e. None of the above

Homework Equations

summation Mx/x

The Attempt at a Solution

I feel that the answer is (b) am I right?

 

[vela]

Maybe, maybe not. Why do you think that?