Interesting problem - movement of dialectric

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The discussion revolves around the movement of a dielectric material within a capacitor mounted on a frictionless bearing. Participants seek clarification on the specifics of the movement, particularly regarding the speed and dynamics involved. The conversation emphasizes the need for detailed parameters to accurately assess the movement of the dielectric. Questions arise about the forces acting on the dielectric and how they influence its motion. Understanding these factors is crucial for solving the posed problem effectively.
JamesTheBond
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This is a problem was thinking about.

If I have a capacitor and fill it with a dialectric of some dialectric constant (the dialectric fits perfectly and is mounted via a frictionless bearing so it can move freely). How fast does it move?
 
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How fast does what move? Could you please be more specific and detailed about what you are thinking about?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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