1. He will take his new hobby with him.

[What does 'with him' modify?]

2. I have no money with me.
[What does 'with him' modify?]

it modifies take, so it's an adverbial phrase.

In both sentences, the phrase "with him" modifies a noun or pronoun. Let's break down each sentence to understand this further:

1. He will take his new hobby with him.
In this sentence, the phrase "with him" modifies the noun "hobby." It indicates that he will take his new hobby along wherever he goes.

To determine this, you can identify the verb and subject of the sentence. The verb is "take," and the subject is "he." The phrase "with him" answers the question "what will he take?" and specifies that he will take his new hobby.

2. I have no money with me.
In this sentence, the phrase "with me" modifies the noun "money." It indicates that the person speaking doesn't have any money in their immediate possession.

Similarly, you can identify the verb and subject of the sentence. The verb is "have," and the subject is "I." The phrase "with me" answers the question "where is the money?" and clarifies that the speaker doesn't have any money on their person.

In both sentences, "with him" and "with me" function as prepositional phrases modifying the nouns "hobby" and "money" respectively.