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It depends on how far you're going. It depends on how fast you want to get there. It depends on what kind of terrain you're going to cover on the way.
As long as a train can move at all (and in this game, any engine can move any consist), it can pull itself somewhere. It might take it an hour of real-time to get there, but it can pull it even if you slap 100 carriages on it.
Depends very much on the "ruling grade" - the steepest part of the line you want them to climb.
If you keep your whole route constrained to a maximum of a "medium" slope (the steepness arrow half way between flat and very steep), then you can maintain the earliest trains' top speeds uphill with... I think around 3-4 basic 10-ton wagons... that quickly climbs up to 8-10 wagons for all but the very first train. By the time you're at ones with engine powers around the 600-1000 range, you can get up to around 15 wagons. You can certainly go above that, but your trains will slow down on inclines.
If you're attempting to send them up full-steepness routes, then you should either expect some painfully slow trains, or literally knock it back to between half and a quarter the number of wagons. The earlier trains will struggle with anything more than 1-2 wagons.
Once you get up to 2000kW+ engines, you can start hauling big loads up steeper inclines, or VERY big loads up sensible inclines.
That's all a very rough and guessed estimate... you need to dive into the maths a bit if you want more specifics - check around on the Reddit group.
This also disregards tractive effort - even if a train has enough power to get up a hill, it can still take a long time to accelerate in the first place.
"How many wagons can I pull?" is a meaningless question. Not just because of issues already raised, but because the wagons themselves have different statistics. 1850 European wagons aren't equal to 1850 American wagons, and they aren't equal to 1950 European wagons, either. They aren't even equal to other 1850 European wagons. A better (still ultimately meaningless, but at least pointed in a better overall direction) question would be "how many tons" (or preferred unit of mass), not "how many wagons."
Yeah, entirely true. I figured it was worth summing it up in measures of "basic-10t-wagon" - easy enough to work out if you have a 1950s 20t wagon, you should divide the number in half :-)
I believe the devs have mentioned somewhere that they intend to fix the whole "wagons weigh the same whether they're full or empty" thing at some point... at which point it'll get even more amusingly complicated :-)
At that point, it might end up hugely profitable to take huge cargo trains down a mountain and return with nice light, empty wagons.