A shell travelling along a parabolic path in the gravitational field of the earth undergoes explosion in mid air. The centre of mass of the fragments will move
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Internal forces do not affect motion of centre of mass.
Concept:
Motion of centre of mass depends only on external forces.
Step 1: During explosion.
Explosion is internal force.
Step 2: External force.
Only gravity acts externally.
Step 3: Conclusion.
Centre of mass continues original parabolic path.