A cubical block of side 0.5 m floats on water with 30 % of its volume under water. What is the maximum weight that can be put on the block without fully submerging it under water? [Take, density of water = 10 3 k g / m 3 ]

Question

A cubical block of side 0.5 m floats on water with 30 % of its volume under water. What is the maximum weight that can be put on the block without fully submerging it under water? [Take, density of water = 10 3 k g / m 3 ], 87.5 k g, 65.4 k g, 30.1 k g, 46.3 k g

MARKS App · Accepted Answer

In first case, when 30 % of the cube inside water, ρ w V i n g = ρ c V g V i n V = ρ c ρ w = 0.3 Additional weight we can put w is, V ρ w g = ρ c V g + w w = V ρ w - ρ c g = 0.5 3 × 0.7 × 10 3 × g = 87.5 g N Addition of mass that we can put = 87.5 k g

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