I feel kinda stupid. The best idea my brain can come up with right now is to start moving them back and forth relative to each other, and whichever one zaps you is not the magnet. I somehow think that's not how induction works, though
Can you bend them?
Nope, no bending, just moving and handling them.
It's a little tricky - I remember that I was the only one in my class to solve that problem, and I even got a recommendation for the phrasing of my explanation. I was rather proud of that back then.
Moving the two bars relative to each other and seeing which one attracts the other is the key... but you have to find the correct constallation.
Keeping one still and watching the other "zap" towards it does not work. The immobile magnet will attract the iron with the same force as an immobile iron would attract the magnet. Side to side, end to end... nothing will give you a clue.. always the attractice forces are identical and you cannot identify where they originate.
But there is one configuration that does not yield equal results: put them together in the form of a T. If the crosspiece of that T is the iron, the magnet will attract it, because the magnetic field is strong at the ends of the bar. If the crosspiece is the magnet, it will not attract the iron, because north- and southpole of the magnetic field will cancel out each other in the middle of the magnetic bar.
That's the way scientific education should work. Not have the students regurgitate what they were taught, but to make sure that the students
understand what they were taught and can apply it.
In that regard, another anecdote from my beloved physics classes: the topic was thermodynamics, heat, heat transfer, energy transfer and such. The (theoretical) exercise: a cube of ice of this and that measurements was placed on the end of a bar of metal with this or that heat transfer capacities, under the other end a candle was lit, producing so much heat. We were to calculate how long it would take for the ice cube to melt. A simple calculation, requiring the student to understand how much energy was produced, transfered and how much it would take to turn the ice into water.
I did it wrong. I never found where I made the mistake... and I did the exercise several times, because I
knew I had it wrong. My ice cube took about four days to melt.
