Rank the buoyant forces exerted on the following five objects of equal volume fr

Question

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

Explanation / Answer

the buoyant force , F =gV

if all the materials have same volume , the buoyant force dipending on density of the materials.

the densities are :

solid oak - 705 kg/m^3

aluminum - 1522 kg/m^3

plastic - 849 kg/m^3

iron - 2100 kg/m^3

water - 1000 kg/m^3

the rank of buoyant force :

iron > aluminum > water > plastic > solid oak.

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