How Does the Density ρS of a Substance Determine Whether a Solid Piece of that Substance Will Float Or Sink in a Given Liquid ρL?

How does the density ρ_s of a substance determine whether a solid piece of that substance will float or sink in a given liquid ρ_L?

Short/Brief Note

The body will float if its density is less than or equal to the density of the liquid ρ_s≤ ρ_L.

The body will sink if its density is greater than the density of the liquid ρ_s> ρ_L.

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Relation Between Volume of Submerged Part of a Floating Body, the Densities of Liquid and the Body

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Chapter 5 Upthrust in Fluids, Archimedes’ Principle and Floatation
Exercise 5 (C) | Q 5 | Page 123

A piece of brass weighs 175 gf in air and 150 gf when fully submerged in water. The density of water is 1.0 g cm^-3.

(i) What is the volume of the brass piece? (ii) Why does the brass piece weigh less in water?

A piece of iron weighs 44.5 gf in air. If the density of iron is 8.9 × 10³, find the weight of iron piece when immersed in water.

A loaded cargo ship sails from sea water to river water. State and Explain your observations.

A block of wood of mass 24 kg floats on water. The volume of wood is 0.032 m³. Find:

(Density of water = 1000 kg m⁻³)

Select the correct option:

A body has density 9.6 gcm ^-3. Its density in SI system is:

Write the SI units of Weight of a body

Write the SI units of Relative density

Complete the following result:

S.l. unit of density is _________

Complete the following result:

The density of water is ______ Kgm^-3.