Q: Does the word "room" mean the same thing in "Room to pass." and "Hardly enough elbow room to turn around."?

A: the same meaning

Q: Does the word "authority" mean the same thing in "The world's foremost authority on orangutans." and "I have the authority to penalise the staff in my department, but not the authority to sack them."?

A: different meanings

Q: Does the word "develop" mean the same thing in "Develop the rook." and "Well-developed breasts."?

A: different meanings

Q: Does the word "run" mean the same thing in "The crowd had to run away from the burning structure with only the clothes on their backs." and "If you see this man, run!"?

A:
the same meaning