Perpetual Mobile with compliance of the law of conservation of energy

[sm0ky2]

Well, the pressure of atmospheric pressure changes by exponential function. However, the potential energy of load has a linear function. Not sure the differential of work against air on on altitude will increase linearly and it won't be equal to potential energy of load.

Looks like this is more complicated then 2x2.

gravitational force is proportional to the square of the distance?

it's not linear, seconds are squared in the denominator.
9.8 m / s/ s

I was using 2 and 4 because they are the most basic ^2/(sqrt) relationship I could present to you.


you have to understand what energy "is".
you see, momentum is velocity times the mass.
to get from the impact force to the "energy" involved, you need to multiply the velocity again.
E=mc^2, mass *sec * sec is the appropriate format.

gravitational acceleration is to energy as time is to mass.

you accelerate 9.8m per second every second you fall. The longer you fall, the more "energy" is imparted into accelerating the object.

the mass contains x much energy every second the electrons orbit whatever many times per second.

the Buoyant force decreases per second per second, with altitude.

the force over time, across the altitude is the energy, both potential and kinetic.

force over distance is only work, that is not energy until you include the other factor of time.

force over distance over time, or work over time is energy.

The gravitational field is conservative, every way you slice it.
Trust me, I wasted nearly a million dollars of someone elses money chasing this road.
We developed a controlled buoyancy unit (B-unit). which works as intended, but is not overunity.
The energy is clear and stable.
The same gravitational force that causes the atmospheric pressure at ground level, is the same force that causes buoyancy.
Yes - a pressurized gas can be made to expand a vessel, and cause the buoyant effect.

But rest assured, that once it rises to a higher potential, the work you did to make it buoyant, must be done again to make it "unbuoyant".
at no height is there a gravitational potential of the "load", that is greater than the force required to compress the buoyant vessel.

NOW,. if you forsake the gas, and compression energy of the first system, take that as an energy "input" into the total system.
the second system will simply have to release the gas to become unbuoyant.
Now, you have an equilibrium situation. where energy input (to expand the vessel against 1 ATM pressure)
is equal to the gravitational potential energy E=mgh of the total mass of load + balloon.
This is the most efficient manner in which to use these two isolated systems together.

I hope this is making sense to you, because it is very important to understand this, if you are trying to gain something from the gravitational field.

[sm0ky2]

the way to make this system work, as an energy production device....

is to find ways to compress the gas in system 1, with naturally existing pressure differentials.

[sm0ky2]

hmm, I know what you mean, I don't want to say this wrong, and get "chewed"
but here I go again...

power is work done to a mass over time, but not the energy the mass has once the work has been done.

by work, I mean the lifting of the mass, through the gravitational field, over time.
and conversely, the expansion/compression, over time, of the 'balloon' or other suitable vessel.

if you look at "power" as a function of time, then yes, this is not energy. Also, this makes several assumptions about the other time-dependent conditions of the system.... Power is generally considered to be the rate at which energy is expended. Or in relation to force, the rate at which a force is exerted over a distance.


If you consider work, over time, as a force - exerting an energy over both time and distance---
This force is acceleration (9.8m/s/s) times the mass. While objects always accelerate at the same rate, different masses have very different kinetic energies. (from our frame of reference).

Then understand that force is also equal to a change in momentum over a change in time.
Kinetic Energy = P^2/2m

Force over time is a change in momentum. Change in momentum is a change in kinetic energy.
Exactly the inverse, is what stores the potential energy.

gravity is a time-dependent field, not like magnetism, which is purely distance.
to travel faster upwards, requires more energy than traveling upwards slowly.
You must apply a greater force, over a shorter period of time.
Or, in this scenario - inflate the vessel to a greater volume, displacing more air.
Which causes the buoyant force to be greater, and a shorter lift time (also a corresponding higher final height).

the work done by lifting through a gravitational field, over time, gives the mass a final "potential energy" within that field.
[note - you can lift an object to any height at any rate of speed and result in the same final "PE", but the energy spent to get there is time dependent.]
the work done by gravity to the object, over time, as it falls, imparts a final acceleration and velocity, which gives the mass a final "kinetic energy" at the bottom of the field gradient. (ground or starting level)

If nothing else interferes, like wind resistance, or striking other objects, etc....
These two final energy values are said to be the same magnitude.

[sm0ky2]

Newton reverse engineered these equations by dropping lots of heavy objects from every imaginable height.
we're not doing anything new here.

[abv]

the way to make this system work, as an energy production device....

is to find ways to compress the gas in system 1, with naturally existing pressure differentials.

I think the work against the air pressure should be neglected as kind of friction. As was described the gas expansion and compression processes are equal on same altitude and the closed system has efficiency 100%.
Same for different altitudes. Yes, the pressure of air drops proportionally altitude. But the balloon still goes up in case where buoyancy force more then gravity force. On certain altitude starts gas compression process into balloon using energy from expansion process. On the end of the process the balloon will have a bigger volume than the ballon was initially on the ground. However, the buoyancy force won't enough to hold the load on certain altitude and balloon will loose altitude. On lower altitude the air pressure is bigger than on high altitude. Therefore the current air pressure will compress the balloon. When the ballon will return back to the ground the volume of the ballon will be same when it was on initial stage.