In Chariot Race, do you incur a cornering penalty on being knocked back onto a numbered space after ramming?
No, you do not take cornering damage when you're forced back into a corner space showing a maximum safe speed. You only need to do this when you enter the corner via normal movement.

Note, however, if there a string of chariots lined up around a corner and you had really bad dice, you might be forced to ram several of them in succession after taking cornering damage. You might then be forced back into an empty space before the corner such that on your next turn, you'd be forced to re-enter the corner again through normal means. In that case, you'd take damage from the corner again. I've never seen this happen, but it's theoretically possible.