groove vs cut into

groove is a noun but cut into is not a noun.

Word	Noun	Adjective	Verb	Adverb
groove	Yes	No	Yes	No
cut into	No	No	Yes	No

As verbs, cut into is a hypernym of groove; that is, cut into is a word with a broader meaning than groove:

Other hypernyms of groove include delve, dig, turn over.

groove (noun)	cut into (noun)
a settled and monotonous routine that is hard to escape
(anatomy) any furrow or channel on a bodily structure or part
a long narrow furrow cut either by a natural process (such as erosion) or by a tool (as e.g. a groove in a phonograph record)

groove (verb)	cut into (verb)
hollow out in the form of a furrow or groove	turn up, loosen, or remove earth
make a groove in, or provide with a groove