A wooden cube of side 0.1 m and specific gravity 0.75 is held submerged by a massless rigid wire in the shown oil–water pool. Oil SG = 0.7; oil depth 0.5 m; the top of the cube is 0.2 m below the interface. Water density is 1000 kg/m³ and g = 9.8 m/s². Find wire tension in N to two decimals.
The cube is fully in water, so oil above changes pressure at both faces equally and does not change net buoyancy. Volume is 0.001 m³. Buoyancy is 1000 × 9.8 × 0.001 = 9.8 N and weight is 750 × 9.8 × 0.001 = 7.35 N. Downward wire tension balances the excess: **T = 2.45 N**.
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