a block of wood of density 0.8 × 10^3 kg/m3 just begins to sink when a mass of 1.6kg is placed on it. What is the volume of the block
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Given : density of the block = 0.8 x 10³ kg/m³
mass placed = 1.6 kg
given wooden block just sinks when mass is placed
⇒ Force of buoyancy developed
F = (density of liquid) x (volume of the block) x g
F = 1000 kg/m³ x V x 10 ---------(1)
total force balanced by force of buoyancy
F = (weight of block + 1.6 ) x g
⇒ F = (800 x V + 1.6 ) x 10 -----------(2)
from (1) & (2) ,
⇒ (800 x V + 1.6) x 10 = 1000 kg/m³ x V x 10
⇒ 16 - 10 = (1000-800) x V
⇒ V = 6 / 200 m³
∴ V = 0.03 m³
HOPE THIS HELPS YOU !! : )
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