The dimensions of the wooden raft (density=150 kg/m^3) are 3 0m3 0m1 0m What maximum load can it carry - Science - Force and Pressure

Question

The dimensions of the wooden raft (density=150 kg/m^3) are 3 0m3
0m1 0m What maximum load can it carry in seawater so that the plank
just floats in water (density=1000kg/m^3)

Vara · Accepted Answer

Dear
Student,
Please find below the solution
to the asked query:
Volume of the wooden raft:V=3×3×1=9 m3Mass of the wooden raft:m=ρV=150×9=1350 kgLetx=Mass of the loadCondition to float:Weight of the wodden raft+load=Weight of the water displaced by raft1350+xg=Vρwaterg1350+x=Vρwaterx=Vρwater-1350=9×1000-1350=9000-1350=7650 kg
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The dimensions of the wooden raft (density=150 kg/m^3) are 3.0m3.0m1.0m. What maximum load can it carry in seawater so that the plank just floats in water (density=1000kg/m^3)