Of course it depends upon the individual states' traffic laws, but here in Texas once a vehicle enters the intersection under the "Yellow" [Caution] light ... even if it's only the front bumper ... that vehicle legally "owns" the intersection until the vehicle clears the intersection ... even if the traffic signal then shows "Green" to the opposing traffic and the first vehicle is still in the intersection. If a "crossing" vehicle collides with the first vehicle, the driver of the "crossing" vehicle is guilty of "Failure to Yield Right-of-Way" ... the "Green" light notwithstanding.
Unfortunately, "Red Light" cameras are not set up to distinguish the difference, hence the banning of these cameras here statewide:
Red-light cameras are now banned in Texas
abc13.com/gov-abbott-signed-a-bill-that-will-ban-red-light-cameras/4519198