E=mc2 | If something has near zero mass, can it move?

[OSF]

Ok, I'm still only in high school (UK) and we haven't covered Quantum Physics yet, but I know a thing or two; however, don't get mad if I get something wrong.

So here's my question:

Am I correct by saying that if something has let's say theoretically 0 or near 0 mass it would not be able to move/accelerate? If so, how do electrons move, for example, when being fired from a source/or just orbiting a nucleus? Is that another reason towards electrons behaving as waves?

Do correct me, if I have made mistakes - I am still trying to learn new things. Thanks

 

[russ_watters]

Welcome to PF.

Objects of zero mass only travel at C. Objects with non-zero mass can travel at any speed below C.

 

[Pengwuino]

Why would something with near 0 mass not be able to move? I suspect you're seeing something that isn't there with $$E=mc^2$$...