Weight
Old English (ge)wiht, of Germanic origin; related to Dutch wicht and German Gewicht . The form of the word has been influenced by weigh1.
wiktionary
From Middle English weight, weiȝte, weght, wight, from Old English wiht, ġewiht(“weight”), from Proto-Germanic *wihtiz("weight"; compare *weganą(“to move”)), from Proto-Indo-European *weǵʰ-(“to move; pull; draw; drive”).
Cognate with Scots wecht, weicht(“weight”), Saterland Frisian Wächte(“scale”) and Gewicht(“weight”), West Frisian gewicht(“weight”), Dutch gewicht(“weight”), German Low German Wicht, Gewicht(“weight”) and German Gewicht(“weight”).
etymonline
weight (n.)
Old English gewiht "weighing, weight, downward force of a body, heaviness," from Proto-Germanic *wihti- (source also of Old Norse vætt, Danish vegt, Old Frisian wicht, Middle Dutch gewicht, German Gewicht), from *weg- (see weigh).
Figurative sense of "burden" is late 14c. To lose weight "get thinner" is recorded from 1961. Weight Watcher as a trademark name dates from 1960. To pull one's weight (1921) is from rowing. To throw (one's) weight around figuratively is by 1922. Weight-training is from 1945. Weight-lifting is from 1885; weight-lifter (human) from 1893.
weight (v.)
"to load with weight," 1747 (figuratively, of the mind, from 1640s), from weight (n.). Of horses in a handicap race, 1846. Sense in statistics is recorded from 1901. Related: Weighted; weighting.