Q: Does the word "interest" mean the same thing in "In the common interest." and "An interest in music."?

A: different meanings

Q: Does the word "room" mean the same thing in "The whole room was cheering." and "The room was on its feet."?

A: the same meaning

Q: Does the word "death" mean the same thing in "England scored a goal at the death to even the score at one all." and "It was the death of all his plans."?

A: different meanings

Q: Does the word "implement" mean the same thing in "Implement a procedure." and "It's a good thought, but it will be a difficult thing to implement."?

A:
different meanings