Tbh, I would love to see it. But our railway infrastructure is dog shit atm, and we wouldn't be able to expand the network fast enough to accommodate something as luxurious as a railway hospital until much later.
My first goal would be to expand the network to the point where cars are unnecessary for the vast majority of my citizens. This would both increase rail traffic to acceptable levels and help alleviate the unnecessary healthcare cost and harm of motor vehicle accidents.
Become my peon, every peon gets healthcare and can apply to drive an electric train. Me -2024
This isn't going to be accurate, it's ignoring a key aspect of the heat that will be generated, friction. When designing materials for prosthetics we have to be aware of how much friction occurs between the material and skin. If the amount of friction is too great, the material can create enough heat to damage tissue.
The formula for the skin friction coefficient is cf=τw12ρeue2, where ρe and ue are the density and longitudinal velocity at the boundary layer's edge.