When immersed in a liquid, an Archimedean force of 14.2 N acts on a body with a volume of 2 dm3. What kind of liquid is it?

According to Archimedes’ law:
Fa = ρgV, where Fa is the Archimedes force (Fa = 14.2 N), ρ is the density of the sought liquid, g is the acceleration of gravity (g = 9.8 m / s ^ 2), V is the volume of a body immersed in the liquid ( V = 2 dm ^ 3 = 0.002 m ^ 3).
Let us express the density of the liquid from this formula.
ρ = Fa / gV = 14.2 / (9.8 * 0.002) = 724.5 kg / m ^ 3.
Check: kg / m ^ 3 = N / ((m / s ^ 2) * m ^ 3) = (kg * m / s ^ 2) / / (m ^ 3 * m / s ^ 2) = kg / m ^ 3.
From the table of density of liquids, the density of gasoline is closest to the result.
Answer. The liquid you are looking for is gasoline.



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