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Question

A body having it's center of mass at the origin. Then,

(The question having a multiple answers).

A
x co-ordinates of the particles may be all positive.
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B
total KE must be conserved.
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C
total KE must very.
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D
total momentum shall vary.
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Solution

The correct options are
C total KE must very.
D total momentum shall vary.
If all the particles have positive x co-ordinates then their COM can't be at the origin. Total KE may not be conserved because of internal forces. Its not given that there is no external force acting on the system, so its momentum may also change.

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