Imagine a pool table on a train, and ball on the pool table. The train's forward direction is to the left. Imagine a completely horizontal force applied on the cue ball to the right. The path of the cue ball however, is as shown by the orange line below. Is train, therefore, moving to the left or the right (As in from the viewpoint of the front of the train looking in the direction of its motion, is it to its left or its right)?
I am almost 100% certain it is to the left, which can be best shown by taking a sheet of paper, putting a pen to it, and moving the paper like the train and the pen backwards like a cue ball (Which confirms my answer). Why does this work specifically, because presumably if not forces act on the ball, it can never vary from the straight line, and the simulation should work?
Consider NO centripetal or centrifugal force acting on the ball, or any other forces for that matter. The ball itself in all reality is only moving in a straight line - however, when compared to the table, the ball's path seems curved due to the motion and changing of the orientation of the table, which will turn in the exact same way as the train.
EDIT: I now know the answer is that it turns right (It was an HSC Question, 2015 Q14 on the Multiple Choice). I understand the issue now, and the problem has to do with context. When the question was in an HSC paper (Being a year 12 Physics paper), they expected you to take into account inertia, centripetal and centrifugal force into the problem. The thing was, the question was transposed then into my situation - that is a class who just started high school physics, and as such should have no real understanding of any of those forces. For all practical purposes, the answer should be right. I never disputed that. However, in the context of where it was asked, I thought the best interpretation would be if it was on a positionally stationary, but rotating table, not on a train that was moving. This also explains why the pen experiment didn't work - because the pen didn't take into account the fact that forces would act on the ball itself.
Thanks so much for the explanations!