Final answer:
Samuel is dealing with an internal conflict, as he is torn between the obligation to do his dishes and the desire to start his challenging homework.
Step-by-step explanation:
The type of conflict Samuel is experiencing is an internal conflict. This is because he is facing a dilemma within himself, deciding whether to fulfill the unpleasant task of doing the dishes or to start his homework which he finds difficult. Internal conflict involves a struggle within a character's mind, such as when a character is torn between contrasting desires or duties, which is precisely what Samuel is going through. He is internally debating between the immediate obligation to his domestic chore and the pressing need to tackle his challenging schoolwork.