Question: Here is one sentence: The battery had a short life.
Here is another sentence: Having experienced both, the vampire decided that he preferred (un)death to life.
Does the life mean the same thing in the two sentences?

Answer: different meanings

Question: Here is one sentence: Can you unravel the mystery?
Here is another sentence: Stop playing with the seam of the tablecloth! You will unravel it.
Does the unravel mean the same thing in the two sentences?

Answer: the same meaning

Question: Here is one sentence: How does this shirt fit?
Here is another sentence: The small shirt doesn't fit me, so I'll buy the medium size.
Does the fit mean the same thing in the two sentences?

Answer: the same meaning

Question: Here is one sentence: I don't care.
Here is another sentence: I don't care what he does.
Does the care mean the same thing in the two sentences?

Answer:
the same meaning