Weak showed up in the early fourteenth century, coming
from the Old Norse work veikr. That word stems from the Proto Germanic waikwaz (yield) and wikanan (bend), so something that is pliable and easy to move is
weak. It can further be traced back to the Proto Indo European weik, bend or wind, and the ancestor
of several words, including vicarious and
weak homophone week.
Week and weak are related. I’m not even sure how to react to that.
Sources
University of Texas at Austin
Linguistic Research Center