most lost anchors are the result of the chain being caught, unless a sand anchor has been used on reef, then you can be in deep poo, going back to what has been said here with Kinetic Energy and stuff like that, it would seem that if you had full chain then if you tied off to the stern then it would be safe!! wrong!! one of the dramas involved is the fact that you have (say) 40 metres of rope out, with tension, now a swell arrives, and you now have 45 metres between you and your anchor point, and only 40 metres of rope, something has to give, and it is the boat going backwards towards the anchor, yanking you under water in the process, I am sure rope strech and stored energy may play a part as well, but not as much as waves and rope length does.