> energy equals mass
That doesn’t mean energy has a weight.
It means it is physically possible to transition energy to mass and vice versa. Sunlight hitting the earth does not add any weight.
Edit: turns out that part was wrong
Also, earth radiates heat out to space. At a rate of (aaaaaaaaalmost, because of the greenhouse effect) 100% of the energy we get from the sun. If it didn’t, earth would be a few million degrees hot by now…
No. It’s not a magic invisibility field inside. It’s a magic object that works only on living “intelligent” creatures. It also doesn’t work the same on different races. Only humans (hobbits are a subtype of human in Tolkiens lore) turn invisible. And because it’s magic it also turns their clothing etc invisible. So either Frodo and his poop is invisible or nothing is.