I cannot understand how can the force carrier of electromagnetic force be the same particle that makes up light. Electrically charged objects emit photons (by the way, why don't we see them?), and the exchange of these photons make unlike charges attract, like charges repel. But then why can't one move charged objects by lighting them?
Edit: it seems many people don't/misunderstand my question. I'm not really asking why light can't move objects, because it can, via transferring momentum, but not because photons mediated electromagnetic force between its emitter and receiver. You can push objects with photons (but it will accelerate very very slowly), but you can't pull objects with photons is real life, unlike in quantum-mechanics. Now pick a charged object, and light it. It won't move. Why won't these photons mediate force to the object? Or will it accelerate, but at a very slow rate that is far too small to be observable?