Do you want to go to the library with us? Choose the correct part of speech for the underlined word

Do: Verb (in the case of the above sentence, "do" is acting as an auxiliary verb.)
you: pronoun.
to: preposition (in the case of the above sentence, "to" is acting with the verb "go" to indicate that the verb is in the imperative mode.)
go: verb.
to: preposition
the: article
library: noun.
with: preposition.
us: pronoun.

Explanation:

Verbs are words that indicate an action, an activity that is happening, or an individual's state. The verb "do" can act as an auxiliary verb indicating that the phrase represents a question, or that the aided verb is in its negative form.

Pronouns are words that accompany the noun, giving extension to its meaning. They can even replace the noun, or reference it.

Prepositions are words that make connections between the clauses of a sentence, leaving the reading fluid and complete.

Articles are words presented before nouns and aim to determine whether the noun is plural or singular, defined or undefined.

Noun is the word that gives name to any individual or object.