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It depends. If you want to lift them up, you have to act a force equal to their weight, so a heavier person would need a force with greater magnitude. If you want to move them horizontally on a plane with friction the heavier person needs a force with greater magnitude again. On a plane without friction no force needs to be acting on them in order to move.

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Q: Who needs a bigger force to keep them moving a man or a child?
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