Something urgent is, etymologically, pushing you. Latin urgēre meant to press, shove, or drive forward — used for crowds surging against gates, creditors pressing debtors, and armies pushing enemy lines. The present participle urgens ('pressing') was borrowed into Old French and from there into English in the late fifteenth century. By the time it reached English, the physical pushing had faded; urgent meant 'demanding immediate attention', a metaphorical pressure rather than a bodily one. The verb urge, which arrived around the same time, retained slightly more of the physical edge — you can still urge a horse forward. The connection to surge is tempting but uncertain; surge likely comes from Latin surgere ('to rise'), a different verb entirely, though the two may share distant Indo-European kin in the idea of forceful movement.