How does the density $ρ_{b}$ of a body determine whether a solid piece of that substance will float or sink in a given liquid of density $ρ_{L}$ ?

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Solution

The body will float if its density is less than or equal to the density of the liquid $ρ_{b} \leq ρ_{L}$ .

The body will sink if its density is greater than the density of the liquid $ρ_{b} > ρ_{L}$ .

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