1. She cut it open.

(Is 'open' an objective complement? What is the part of speech of 'open'? Is 'open' an adjective or a 'verb'?)

2. Chocolate is made from cocoa beans.
3. Chocolate is made from cacao beans.
(Which one is correct?)

4. He is picking up a cocoa pod with his hand.

5. He is picking up a cacao pod with his hand.

(Which one is correct?)

6. Cocoa trees grow in rain forest countries.

7. Cacao trees grow in rain forest countries.
(Which one is correct?)

1 ~~ In this sentence, "open" is an object complement. It's an adjective modifying the direct object "it."

http://grammar.ccc.commnet.edu/grammar/objects.htm#objects
Scroll down to the COMPLEMENTS section and read the second example given for Object Complements. This is the same construction.

2-7 ~~ At first, I would have told you they are just two words for the same thing, but I have learned they are not!

http://www.ehow.com/info_8721957_difference-cacao-vs-cocoa-powder.html

http://vegetarian.about.com/od/beverage1/a/Difference-Between-Cocoa-And-Cacao.htm

So ... I'd use "cacao" when referring to the plant from which the beans come, and I'd use "cocoa" when referring to the beans and the chocolate powder or chocolate drink made from those beans..

1. In the sentence "She cut it open," the word "open" is not an objective complement. It is a part of a phrasal verb, "cut open." In this phrasal verb, "open" functions as an adverb modifying the verb "cut." It describes how the cutting action was done. Here, "open" is a verb.

2. Both statements are correct. "Cocoa" and "cacao" are two terms used interchangeably to refer to the beans used to make chocolate. The terms "cocoa" and "cacao" often vary regionally or based on the specific context of their use, but both refer to the same products.

4. The sentence "He is picking up a cocoa pod with his hand" is correct. "Cocoa pod" refers to the pod or fruit from which cocoa beans are extracted.

5. The sentence "He is picking up a cacao pod with his hand" is also correct. "Cacao pod" refers to the pod or fruit from which cacao beans are extracted. As mentioned earlier, "cocoa" and "cacao" can be used interchangeably, so both sentences are valid.

6. The sentence "Cocoa trees grow in rainforest countries" is correct. "Cocoa" refers to the tree that produces cocoa beans used in making chocolate.

7. The sentence "Cacao trees grow in rainforest countries" is also correct. "Cacao" refers to the tree that produces cacao beans used in making chocolate. Similar to "cocoa," "cacao" is an alternate term used to describe the same type of tree.