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Then, the power from the electric generator recharges, the first battery section
This will move the charge between the battery packs, but it does not create power. Since you are likely only %25 efficient at making and applying the steam power, you will lose %75 of your charge every time you do this. Depleting %100 of power in battery pack 2, will only get you %25 increase in charge on battery pack 1.
The 3 laws of thermodynamics are harsh:
0. You must play
1. You can't win
2. You can't cheat
3. You can't quit
Do not waste time on a Tesla turbine. Build a double expansion engine. Use steel boiler tube, temperature control is difficult in a monotube boiler. Seek improvements after you get this working.
Do you mean 5000 watt/hour? If you apply 5000 watts to a boiler that's 6.6 HP. There are about 750 watts in a horsepower. Watts are the metric unit and every where in the world besides USA car engines are rated in watts.
Converting electricity to motion with an electric motor is efficient, the cost has been at the power plant. The battery is storing the work you did to create the electricity. You are trying to use electricity to generate electricity, so you are again going to lose the majority of your energy doing that.
The best minds the human race has generated have worked on these problems. They underlie everything in our modern lives. Maxwell, Plank, Einstein - you name it.
You can achieve some nice things here and the speed record might be within your grasp - but Tesla turbines and electric power are not going to help.
You need 100 HP or more for the speed record ( at least probably ). With electricity ( or anything else for that matter ), you will need to put something like 300,000 watts into your boiler...
That's what a gasoline engine is doing to make 100 HP.