Learn English – the difference between “Of” and “Of the”

In many contexts, the meanings are pretty much the same, but you might hear finished more often than completed in casual conversation. For example:

I've finished my shopping.
She finished the song.
He finished the race.

I could use completed in those sentences – the meaning wouldn't change, but the register might sound off.

The word completed can convey some sense of accomplishment. In the context of a race, it might work when the race is a major achievement:

He completed his first marathon last year.

Homework, though, is not really a major achievement, so I think you'd hear finished more often in casual conversation:

“Joey, where are you going? Did you finish your homework?”

That said, you might see completed in more formal contexts, such as a paper on education, or a course syllabus:

Students must complete six homework assignments during the semester.

I think it was Robert Heinlein who said, "Nude is sexy. Naked is defenseless."

This is one of those cases where dictionary definitions of the two words might well be the same, but there are subtle differences in shades of meaning.

As others have noted, we generally use "nude" to refer to art. It's generally used to refer to lack of clothing in a "positive" sense: artistic or sexy. "Nude models", a "nude scene" in a movie, "nude beaches", etc.

"Naked" is usually used to refer to lack of clothing in a "negative" sense: defenseless, embarrassing, exposed. "Caught naked", "naked and helpless", "the prisoner was stripped naked", etc.

Also, "nude" is, I think, exclusively used for human bodies, while "naked" can be used in many contexts. You can say "the naked blade of a knife". No one says "the nude blade of a knife". Or, "When he realized the danger he felt raw and naked terror." No one would say "... nude terror".