Apparently means that there was some amount of deduction involved. In other words, after investigating the subject, it became apparent that…

The word obviously is normally spoken with a “matter of fact” tone or attitude, whereas apparently is normally a new found concept.

Or if a person is crying hysterically, someone would opine, “Obviously she’s very upset.”

‘Apparently’ implies more of a subtle conclusion after some observation. If a person tried to set up two people to meet at a party, and later sees them apart talking with others, he might say, “Apparently they didn’t hit it off.”

“obviously it’s heavy” I shouldn’t have to tell you but I will tell you and use “obviously” just in case you know already

“apparently it’s heavy” somebody said that it is heavy but I don’t know for certain, I’m just taking their word for it, not sure that I believe it though

Apparent means it appears to be a certain way, or gives the appearance of being that way.

more real, than apparent. -good question!..