c.1400, "action of prostrating oneself," from Old French prostracion (14c.) or directly from Late Latin prostrationem (nominative prostratio), noun of action from past participle stem of prosternere (see prostrate (v.)); or else a native formation from prostrate (v.). Meaning "weakness, exhaustion, dejection" is from 1650s.
prostration pros·tra·tion (prŏ-strā'shən)
Total exhaustion or weakness; collapse.