A bit of a basic question: bouyancy

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Discussion Overview

The discussion revolves around the concept of buoyancy, specifically whether a boat's floating height would change with alterations in gravitational strength. It also touches on the behavior of objects resting on solid substances that deform plastically, exploring theoretical implications rather than practical applications.

Discussion Character

  • Exploratory, Conceptual clarification

Main Points Raised

  • One participant questions if a boat's floating height would remain unchanged with varying gravity, asserting that the mass of the boat remains constant.
  • Another participant suggests that in a higher gravity field, water would be denser, potentially offering more resistance to displacement, but expresses uncertainty about this reasoning.
  • A later reply confirms that the buoyant force, which depends on the weight of displaced water, does not change with gravity, indicating that the floating height would indeed remain constant.
  • In response to the question about objects on solid substances that deform plastically, one participant states that the same principle does not apply.

Areas of Agreement / Disagreement

Participants generally agree that a boat's floating height would not change with altered gravity, but there is uncertainty regarding the implications for objects resting on deformable solids. The discussion remains unresolved on that latter point.

Contextual Notes

Some assumptions about the nature of buoyancy and the behavior of materials under different gravitational conditions are not fully explored, and the discussion does not clarify the specific conditions under which the plastic deformation occurs.

matthyaouw
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(This isn't a homework question before you ask- it just came up in something I was reading.)

Am I right in thinking that a boat floating in water would float neither higher nor lower if the gravity were altered, as its mass would remain constant?
Would the same remain true if an object were resting on a solid substance that deforms plastically?
 
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The just-off-the-top-of-my-head response would be that you're right because the water would be denser in a higher gravity field, and thus offer more resistance to being displaced. I'm really not sure, though.
 
matthyaouw said:
Am I right in thinking that a boat floating in water would float neither higher nor lower if the gravity were altered, as its mass would remain constant?
That's correct. For an object to float, the buoyant force (the weight of displaced water, which equals [itex]\rho V_{(disp)} g[/itex]) must equal the weight of the object ([itex]mg[/itex]). The volume of water displaced does not depend on the strength of gravity.

Would the same remain true if an object were resting on a solid substance that deforms plastically?
No.
 
Thanks for your help.
 

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