Question: Sentence 1: The horse will run the Preakness next year.
Sentence 2: I'm not ready to run a marathon.
Does run mean the same thing in these two sentences?
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Answer: the same meaning

Question: Sentence 1: Respect my authority!
Sentence 2: I have the authority to penalise the staff in my department, but not the authority to sack them.
Does authority mean the same thing in these two sentences?
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Answer: the same meaning

Question: Sentence 1: Anthropologists do much of their work in the field.
Sentence 2: He needs some time in the field before his judgment can be trusted.
Does field mean the same thing in these two sentences?
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Answer:
the same meaning