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A force with inifinite range would for example be the gravitation. Since we are a great distance away from the sun, and we can still feel its pull it would be considered an inifinte range force

a short range force for example would be the the glue force in the nucleus iof an atom. When particles are brought together until they almost stick together, this force will act upon them, if they separate only a fraction of the given distance, the force will not act upon them anymore. its like glue on your hands, when you put your hands together very closely , not touching yet, and separate them, nothing nwill happen, if you let them touch, they will stick until separated again.

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