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It's not really "used for" anything, because it's too strong; at any appreciable distance the force between two particles interacting via the strong force is greater than the force required to create new particles. This is why you can't ever observe a stable bare quark; quarks can only exist in bound states or (at extremely high energies) in a sort of "quantum soup" of other quarks and gluons.

Maybe you meant to ask what it is, though: it's the force that holds hadrons (baryons, which are composed of three quarks or three antiquarks, and mesons, which are a quark-antiquark pair) together.

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Q: What is a strong nuclear force used for?
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