What happened to Sam?

[burrahobbit]

I think that the reason that they would die would not be because they were forced to, and that they could carry on living if they felt like it, but they would not, since, being mortal, they would tire of the world and give up their life of their own free will. This is not quite the same as men, as they become weary, but some, fearing death can choose not to give up life, but eventually death will take them.

This is right and wrong at the same time. Hobbits are men, and as such they die no matter what. I'm sure they would get world-weary and die peacefully, but that isn't the point. If they didn't go peacefully they would be taken anyway.

long life

Not really. At least, not any longer than somebody like Aragorn. I really doubt that they lived more than a handful of years.