Ever played pool/snooker? When you break the initial bunch of balls?
Same idea: subatomic particles (protons and neutrons) get separated by an outside particle (the cue ball) and they scatter in every direction. In atoms, though, the group of balls is held together by a very strong attractive energy.
In an atomic explosion, the energy needed to fire the cue ball is much less than the energy released when the balls are separated.
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