Mechanical Properties of Fluids

Physics Part II

Physics

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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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What is fluid?

Any material that can flow is a fluid. Liquids and gases are examples of fluid.

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Why solids have definite shape while liquids do not have definite shape?

Solids: Intermolecular forces are very strong and thermal agitations are not sufficiently strong to separate the molecules from their mean position. Solids are rigid and hence they have definite shapes.

Liquids: In liquids intermolecular forces are not sufficiently strong to hold the molecules at definite sites, as a result they move freely within the bulk of liquid, therefore, do not possess definite shapes. Liquids take the same shape as that of the container.

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What is hydrodynamics?

Hydrodynamics is the branch of science that studies about the force exerted by the fluids or acting on the fluids.

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Do intermolecular or inter-atomic forces follow inverse square law?

No. Intermolecular and inter-atomic forces do not obey the inverse square law.

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