Lava lamps get hot because you have to plug them into the wall and wen you do that it creates energy so then your lava lamp heats up and then the stuff inside it can work.

If there are already lamps there you can as you say plug and play. I suggest when you expose the wires you seal with a genorous amount of electrical tape or a shrink tube.

Yes it is. You can use grow lamps on a plug in timer. Or you can now get LED grow lamps which use less power.

it is used to power things in the world we use like, computers,lamps,radios,and other things you plug in.

Under a sliding cover on the plug body.

Or: press the spades together to withdraw the plug from the body, sometimes fuses are hidden there.

Or: one of the lamps is actually a fuse and is not a lamp.