Does Equal Apparent Weight Affect Buoyancy and Mass in Submerged Boxes?

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SUMMARY

This discussion centers on the relationship between buoyancy, volume, and mass in submerged boxes, specifically referencing Archimedes' Principle. It concludes that if two boxes have equal apparent weight but different volumes, the buoyancy of the larger box will be greater, while their masses remain equal. Additionally, when two boxes of the same density float, the buoyant force acting on each will be equal, but the submerged fraction will differ based on their respective masses. Lastly, when an anchor is thrown overboard from a floating boat, the water height will increase, and the fraction of the boat submerged will decrease.

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  • Understanding of Archimedes' Principle
  • Knowledge of buoyancy and its relationship with volume and mass
  • Familiarity with concepts of density and submerged objects
  • Basic principles of fluid mechanics
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sweetpete28
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Buoyancy, Volume, Mass..Please Help!

a) If 2 boxes have the same apparent weight when submerged in stationary fresh water, and V1 (the volume of box 1) is greater than V2 (the volume of box 2) would the buoyancy of box 1 be greater than box 2 and masses be equal?? If not, would be relationship of the buoyant force on box vs. buoyant force box 2 and b/t masses??

b) If two boxes of the same density float on stationary fresh water and M1 (the mass of box 1) is greater than M2 (the mass of box 2) would the magnitude of the buoynat force on each box be the same and the fraction of each box submerged be the same? If not, which would be greater for each?

c)if a boat is floating on a fresh water lake and an anchor is at bottom of boat and then thrown into water, what will happen to height of water and fraction of boat that is submerged? I think the height will increase and fraction will decrease...no??

Please help...I know this has to do with Archimedes' Principle but I am not sure...many thanks!
 
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