Unlike you, as a physics graduate, I fully understand Newton's laws, unfortunately there appear to be many people here who can't understand plain old English.
Acceleration = Force/Mass
Conventional loco hauled train - Mass = Engine(Drive) + Body + Fuel + Carriages
Electric loco hauled train - Mass = Engine + Body + Carriages
Electric train - Mass = Carriages + Smaller Engines
Hyperloop One - Mass = Carriage(s)
Any ***** can see that Hyperloop One is vastly more efficient at turning force(power) into motion due to the fact that less Mass needs accelerating.
Lets look at this in a different way.
As I see it, hyperloop and the Large Hadron Collider are not unlike each other. The only basic difference is that the LHC is designed to operate by accelerating particles to near the speed of light. It goes without saying that the hyperloop will and can, at this point in the development of science and technology, never hope to even get the pod anywhere near that velocity.
All else considered, the pod in hyperloop is comparable to the particles in the LHC. Both the LHC and hyperloop operate at near vacuum though LHC is much closer to an ideal vacuum than hyperloop. Both LHC and the hyperloop require some sort of external magnets to keep the accelerated object(s) from hitting the wall of their enclosures.
In the LHC, if the vacuum fails, particles will collide with whatever gas was introduced in the failure and combine with or destroy the atoms in the gas. In the hyperloop, the worst that can happen with a vacuum failure is that the hyperloop will be required to run at a lesser velocity.
If the external magnets fail in the LHC, particles will collide with the chamber walls and, quite possibly, punch a hole in them. If the magnets fail in the hyperloop, the pod also will collide with the walls of the tube, and depending on its velocity at that moment, well, lets just say that things could easily get messy.
In many respects, the kind of technology that will be required to build the hyperloop is not unlike that employed in the LHC. That kind of technology is expensive, and in the case of the hyperloop, since no one has built anything like this so far, at least some of the technology required will need to be invented before it can be put into practice. Such development is typically very expensive because it is not yet in mass production. My bet is that the cost of implementing the hyperloop will be far in excess of the cost of the LHC.
As far as actually building the hyperloop, where will it go? Where will it be located? How much will it cost? Who will pay for it? I doubt even Musk has enough money to build more than one limited length hyperloop run. Hyperloop will also have to clear regulatory and political hurtles before it can ever be built. Musk is still subject to laws and regulations; people will not just jump because Musk says so, and if this is about Musk in your eyes, why?
What I have just covered is certainly part of why I don't see this getting that far very quickly. In NYS, they cannot even agree to fund construction of a high-speed rail system, like the bullet trains already operating elsewhere in the world, from NYC to Buffalo, and somehow, hyperloop is going to come in require perhaps much more land and much more investment than high speed rail and they would expect to convince NYS that it should invest in this? I expect that the arguments will be the same elsewhere.
Is it a cool idea? IMO, yes. Is it practical - well - since the technology is going to have to be invented, maybe not. Since there will be high costs associated with development, also maybe not. Since there will be political forces operating also, maybe not. Even if present railway lines were converted to hyperloop, the expense will likely be significantly higher than converting those same lines to high speed rail lines and there are already forces balking at that conversion.
Will hyperloop happen? Maybe someday. Maybe it will happen sooner than I think, maybe not.
As a physics major, surely you understand that for every doubling of velocity, four times the energy will be needed for the pod to reach that velocity. E=(1/2)m*v^2 in this case. So, accelerating the pod to whatever its final velocity will take energy to do so, no less energy than accelerating any similarly sized object to a similar velocity anywhere. As I implied before, the effect of the change in mass is directly proportional to the amount of mass saved - it is a linear relationship; however, changes in velocity have an exponential relationship to the amount of energy required. And as cranky stated, there will be limits in the amount of acceleration that you can impart to the passengers of the pod and still keep it safe. Essentially, as it stands right now, it is more of a rail gun than a viable transportation system.
One other thing, the external magnets are a necessity. While the magnets are the motor and they save weight of the pod by moving them from the train to the sides of the tube, how many times the amount of material will be needed to put the magnets outside of the pod along the tube? As I see it, this a factor in the cost of construction that may never be overcome by the increase in efficiency especially if we are talking about exotic magnetic materials like permalloy or supermalloy or some other similar magnetic alloy or superconducting magnets that require constant cooling to liquid nitrogen or colder temperatures.
Things like this take a significant amount of thought. While they are making strides towards a prototype, a prototype will be far from a safe and economically viable public hyperloop transportation system.
There are a lot of factors involved that make developing and implementing hyperloop a very difficult task at the least - perhaps not unlike the difficulties encountered during the development phase of NASA's Apollo program. At this point, I totally find myself agreeing with cranky in that this is purely for publicity. If it ever reaches the stage where it becomes a viable technology, the implementation of it will likely be as difficult as developing the prototype if not more so.