ï»¿ Wooden plank weighing 8kg floats in water with two-fifth of its volume floating in water. Find the maximum weight that can be placed over the plank so that it may float completely submerged. from Physics Mechanical Properties of Fluids Class 11 Manipur Board

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Wooden plank weighing 8kg floats in water with two-fifth of its volume floating in water. Find the maximum weight that can be placed over the plank so that it may float completely submerged.

Let V be the volume of the plank.

Given that two-fifth volume of plank is submerged in water.

Therefore by law of floatation the weight of wooden plank is equal to the weight of Â Â volume of water.

That is,Â

Weight ofÂ Â of water = 8 kg

Â Weight of V volume of water=20kg.

Therefore when wooden plank is fully submerged in water, it displaces 20 kg of water.

Hence a 20 kg weight can be made to float over the water.

Thus additional weight that can be put over the plank is (20 â€“ 8)kg = 12 kg.

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