A friend asked me this question, and now it's got me to thinking.
If you're given two ropes of the exact same material, thickness, and quality, but one is longer, which one is stronger?
The way I'm looking at it, the longer one would be stronger. Imagine this: If you're suspending weights in the air with these ropes, when you add some weight, the rope will stretch. It seems to me that the longer rope will be able to stretch more. Say you have a 10' rope that will stretch a foot and a 40' rope that will stretch three feet. You can add how much ever weight to the 10' rope that will make it stretch one foot before you reach the point where the rope has reached its limit. With the 40' rope, you can add how much ever weight it takes to make it stretch three feet before it gets to that point. It just makes sense to me that the longer rope will be able to hold more weight.
Now, that's not to say it's stronger. When you ask me if something is stronger, I would want to factor out such things as length, and it just doesn't make sense to me that two exact same ropes, but of different lengths, won't be of the same strength. But I still think one will be able to bear more weight.
Another question is that, if indeed one is stronger than the other, how great does the difference in lengths have to be before it's a significant difference?