OK - fair disclosure, the device I’m describing is definitely a (putative) perpetual motion machine. It was designed by someone I care about, engineer by trade, who is concerningly obsessed with it.
It is a system designed to extract energy from buoyancy and recapture it via gravity. Basically, a water column where energy is extracted from a rising buoyant object via a chain attached to a spring or battery or something. Then the object is removed from the water, and dropped, where the energy of the falling object is extracted by a chain. The object is then placed back at the bottom of the column via a water-lock system to prevent loss of water from the system. Repeat ad infinitum.
I feel like if I invested a few weeks in re-learning college physics, I could give a detailed accounting of the energy loss, but that’s not really my strength. I am looking for an obvious intuitive hole I can point out.
Neglecting friction and viscosity, I feel like the energy extracted from a buoyant object of volume X, rising a distance Y, should be exactly equivalent to the energy extracted from a water of volume X falling that same distance Y. Since the mass of a buoyant object is by definition less than what it displaces, then the same object doesn’t get the same gravitational acceleration while falling, and cannot make up that energy. I know that’s a wordy way to say it, but am I basically on track?
Also, I fear I may be solving the wrong problem here, so if anyone has any thoughts on how to compassionately deal with a loved one who is obsessed with that sort of thing, I’d appreciate it. He seems totally fine other than this, but there’s a history of psychiatric issues that I can’t ignore. As distractions go, this one is pretty harmless, so maybe my best course is just to leave him to it.
So to recap, I’m looking for the most obvious and intuitive way to point out why this thing is a perpetual motion machine.