The main reason railroad trains remain on their tracks has to do with the ____________________. A) None of these.B) beveled shape of the wheel circumference.C) independence of opposite wheel motions.D) All of these.

E) flange on their wheels.

The correct answer is E) flange on their wheels. The flange is a protrusion on the inner edge of the wheel which helps to keep the train on its tracks.

The main reason railroad trains remain on their tracks is due to the flange on their wheels. The flange is a protrusion on the inside of the wheel that keeps the train on the track by preventing it from sliding off. This keeps the train stable and ensures that it follows the path of the track.

To arrive at this answer, we can eliminate options A, B, and C, as they do not accurately describe the main reason for trains staying on their tracks. This leaves us with options D and E. While it is true that the beveled shape of the wheel circumference and the independence of opposite wheel motions contribute to the train's stability on the track, the primary mechanism that prevents the train from derailing is the flange on the wheels. Therefore, the correct answer is option E) flange on their wheels.