Buoyant force same for all object of same volume?

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Homework Help Overview

The discussion revolves around the concept of buoyant force and its dependence on the volume of displaced fluid. Participants are examining how buoyant forces compare among various objects of equal volume when submerged in water.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between buoyant force and the volume of water displaced, questioning whether buoyant forces are equal for objects of the same volume. Some participants assert that buoyant forces are equal, while others challenge this view based on the conditions of mechanical equilibrium and submersion.

Discussion Status

The discussion is active, with differing opinions on the nature of buoyant force in relation to mechanical equilibrium. Some participants have provided rankings based on their interpretations, while others emphasize the importance of understanding the conditions under which buoyant forces are assessed.

Contextual Notes

There is a noted restriction regarding the objects being at mechanical equilibrium, which affects the amount of water displaced by those that are not fully submerged. This introduces complexity into the discussion about buoyant forces.

david13579
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Rank the buoyant forces exerted on the following five objects of equal volume from the largest to the smallest. Assume the objects have been dropped into a swimming pool and allowed to come to mechanical equilibrium. If any buoyant forces are equal, state that in your ranking. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.)
(a) a block of solid oak
(b) an aluminum block
(c) a beach ball made of thin plastic and inflated with air
(d) an iron block
(e) a thin-walled, sealed bottle of water


My answer? They are all equal since the buoyant force depends only on the volume displaced (whether the buoyant force is stronger or weaker than the weight of the object is irrelevant in this case I think). Cramster also says they are all equal and one of my classmates say it is equal too.

Webassign says they are not equal.
 
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When they achieve mechanical equilibrium, some of them are not fully submerged. Those not fully submerged, displace an amount of water that's' less than for those that stay submerged.
 
What's the definition of 'buoyant force' intended in the question?
 
Thanks a lot man. So in the end it comes to e=b=d>a>c
 
But don't forget the restriction that they are at mechanical equilibrium. Buoyancy force is only related to volume of water that is replaced. While in equilibrium, some of them are not completely in water, which means no water displaced.
 

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