Problem: Word: authority

Sentence 1: He has the authority to issue warrants.

Sentence 2: I have the authority to penalise the staff in my department, but not the authority to sack them.

Same meaning?
A: the same meaning

Problem: Word: key

Sentence 1: The key to solving this problem is persistence.

Sentence 2: The key to development is economic integration.

Same meaning?
A: the same meaning

Problem: Word: cover

Sentence 1: When the pot comes to a boil, cover it and reduce the heat to medium.

Sentence 2: Cover the child with a blanket.

Same meaning?
A: different meanings

Problem: Word: orbit

Sentence 1: In the political orbit of a world power.

Sentence 2: In the post WWII era, several eastern European countries came into the orbit of the Soviet Union.

Same meaning?
A:
the same meaning