Bob, the push effect might work, but he's missing his cloak, as has already been pointed out.

But I think this fine tuning ignores the bigger picture: Anakin's turn in Palpatine's office is too quick. His mind should already be made up when he comes into the room. He should just walk in on the fight and chop off Mace's arm without saying a word. None of this "He must stand trial, blah blah" stuff.

I think turning to the Dark Side should be a big decision or moment. In the movie we end up with: "Well, I'm conflicted about what to do. Oops. Maybe I went too far in cutting off Mace's arm. But I guess I'm too deep in the Dark Side now to turn back. I might as well pledge myself to the Sith Lord."