Problem: Sentence1: Cover her face with a handkerchief.
Sentence2: Count the cash in the drawer twice just to cover yourself.
Q: Does the term cover mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: Respect my authority!
Sentence2: He has the authority to issue warrants.
Q: Does the term authority mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: Matters came to a head yesterday.
Sentence2: I've got to go to the head.
Q: Does the term head mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: His reaction was the product of hunger and fatigue.
Sentence2: Skill is the product of hours of practice.
Q: Does the term product mean the same thing in both these sentences?

Answer:
the same meaning