Question: "go" used in the same way in the following two sentences?

These ugly billboards have to go!

This chair has got to go.
Answer: the same meaning
Question: "head" used in the same way in the following two sentences?

He stuck his head out the window.

Be careful when you pet that dog on the head; it may bite.
Answer: the same meaning
Question: "appearance" used in the same way in the following two sentences?

A person makes his appearance as an historian, an artist, or an orator.

His sudden appearance surprised me.
Answer: different meanings
Question: "push" used in the same way in the following two sentences?

'Now push hard,' said the doctor to the woman.

The guy hanging around the school is pushing drugs.
Answer:
different meanings