a 5kg wooden block of density 0.8g/cc and 5kg plastic block of density 0.6g/cc float on the water surface.find the weight of the plastic block and wooden block in air,their weight in water,their buoyant force,weight of water displaced by both the blocks,mass of water displaced by both the blocks,volume of water displaced by both the blocks
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Dear Student,
Please find below the solution to the asked query:
 ​Case I: Mass of the wooden block: m = 5 kgDensity of the wooden block: ρ=0.8 g/cc = 800 kg/m3Density of water: ρ'=1 g/cc=1000 kg/m3(1) Weight of the wooden block in air:W=mg    =5×9.8    =49 N(2) Volume of the wooden block:V=mρ   =5800   =0.00625 m3(3) Weight of wooden block in water:As the density of wooden block is less than water, the wooden blockfloats on water surface. So, its weight is zero when immersed in water.(4) Buoyant force on wooden block:Fb=ρ'Vg     =1000×0.00625×9.8     =61.25 N(5) Weight of water displaced by wooden block:Weight of water displaced=Fb                                                =61.25 N(6) Mass of water displaced by wooden block:m'=Fbg          =61.259.8       =6.25 kg(7) Volume of water displaced:It is same as volume of wooden block, which is 0.00625 m3------------------------------Case II: Mass of the plastic block: m = 5 kgDensity of the plastic block: ρ=0.6 g/cc = 600 kg/m3Density of water: ρ'=1 g/cc=1000 kg/m3(1) Weight of the  plastic in air:W=mg    =5×9.8    =49 N(2) Volume of the  plastic block:V=mρ   =5600   =0.0083 m3(3) Weight of  plastic block in water:As the density ofplastic block is less than water, the plastic blockfloats on water surface. So, its weight is zero when immersed in water.(4)Buoyant force on  plastic block:Fb=ρ'Vg     =1000×0.0083×9.8     42.7 N(5) Weight of water displaced by  plastic block:Weight of water displaced=Fb                                                =42.7 N(6) Mass of water displaced by  plastic block:m'=Fbg          =42.79.8       =4.36 kg(7) Volume of water displaced:It is same as volume of plastic block, which is 0.0083 m3   
Hope this information will clear your doubts about Buoyant force.
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