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Sep 23 at 18:20 comment added Bob D @printf there are numerous possibilities. If the potential energy is chemical associated with an explosion no external force would be needed. Just an ignition source. All this is speculation unless the OP answers my question regarding the nature of the force applied by A, which the OP has not yet answered
Sep 23 at 18:01 comment added printf I daresay, but the same would apply to the bodies being deformed (some external force would need to keep them like that and at rest) and in other similar situations. I assume the OP's initial conditions were, at $t=0$, (1) two bodies are close together; (2) they are at rest with respect to each other. There must have been some external force that brought them together, which did work on the system. At $t=0$ this force stopped acting and the bodies were allowed to fly apart; the potential energy of the configuration turned into kinetic energy.
Sep 23 at 17:32 comment added Bob D @printf that would require an external force to keep them together initially at rest and in contact
Sep 23 at 17:19 comment added printf Another option is that A and B carry (equal) electric charges; the kinetic energy of them flying apart comes from the electrostatic potential energy that comes from the work done to bring them together.
Sep 22 at 16:10 vote accept CommunityBot
Sep 22 at 16:10
Sep 22 at 16:10 vote accept CommunityBot
Sep 22 at 16:10
Sep 22 at 13:25 history edited Bob D CC BY-SA 4.0
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Sep 22 at 11:51 history answered Bob D CC BY-SA 4.0