What would an age-of-sail three-pounder cannon do to a cog from roughly 1100-1300?
Short answerIt could batter the cog from well beyond any useful response, but would not necessarily destroy it with a single instantaneous hit.
NotesThe comparison places a three-pounder far outside the technological setting of an eleventh- to thirteenth-century cog. The gun could smash the wooden vessel from a range at which the cog had little means to reply, although the result would not be an instantaneous cinematic destruction. A later example imagines a 48-gun vessel with 24 three-pounders per broadside on a hull around the size of HMS Cherub or slightly larger. This separates decisive weapons overmatch from the slower physical process of disabling a wooden hull.