## Chapter Chosen

Mechanical Properties of Fluids

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The dimensions of the base of a boat are 3.3mx2.2m. When the man gets on to the boat, the boat sinks by 1 cm. What is the mass of the man?

The dimensions of the base of a boat are 3.3 m $×$2.2 m

The boat sinks by 1 cm, therefore volume of water displaced when man gets on the boat is,

V = 3.3 x 2.2 x 0.01

= 72.6 x 10-3  m

Mass of water displaced = 72.6 x 10-3 x 1000 = 72.6  kg

The man is in a floating state int he boat.

Therefore,

Mass of man = Mass of water displaced
= 72.6 kg.
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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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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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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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What is hydrostatics?

Hydrostatics is the branch of fluid mechanics that studies incompressible fluids at rest. The study of fluids at rest or objects placed at rest in fluids is hydrostatics.
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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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