As long as you have a "load" which should typically be an object containing liquid (not frozen) or another food object, your microwave will be safe. This does not preclude things such as Superheating which can occur when heating liquid. read more
Yes, it's safe to microwave paper cups, bowls, plates, napkins, towels, anything made of paper. It's also safe to microwave glass and crockery. I wouldn't microwave plastic though. And of course no metal. read more
If the container is not microwave-safe, then maybe the glue component when making the coffee cup contains water or if you have ink that has metal in it printed on the cup or on some dinner plates etc. read more
If you have a liquid in a container that is microwave-safe, then the increased speed molecules experience will result in heating this liquid . If the container is not microwave-safe, then maybe the glue component when making the coffee cup contains water or if you have ink that has metal in it printed on the cup or on some dinner plates etc. read more