How could we say that the centre of mass remains at it's position even if the body breaks into two - Physics - Systems of Particles and Rotational Motion

Question

How could we say that the centre of mass remains at it's position
even if the body breaks into two pieces I am trying to get feel of
this fact but everytime I felt this fact as contrived ! Plz hlp me

Vijay Shankar Yadav · Accepted Answer

Dear Student,
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_59892fb23d46b%20jpg"
style="width: 674px; height: 1023px;">
Regard

How could we say that the centre of mass remains at it's position even if the body breaks into two pieces. I am trying to get feel of this fact but everytime I felt this fact as contrived ! . Plz hlp me.