# An iron weight with a volume of 17.3 cubic centimeters in a liquid is subjected to a buoyant force

An iron weight with a volume of 17.3 cubic centimeters in a liquid is subjected to a buoyant force of 0.2 N. What kind of liquid is this?

The force of Archimedes will act on any body in a liquid:
Fа = ρ * g * V, where Fа is the value of the Archimedes force (Fа = 0.2 N), ρ is the density of the liquid, g is the acceleration of gravity (g = 10 m / s ^ 2), V is the volume of the weight (V = 17.3 cm ^ 3 = 17.3 * 10 ^ -6 m ^ 3).
Let us express and calculate the density of the desired liquid:
ρ = Fa / (g * h) = (0.2) / (10 * 17.3 * 10 ^ -6) = 1156 kg / m ^ 3.
According to the table of densities of liquids, it can be determined that the desired liquid is liquefied oxygen (ρ = 1150 kg / m ^ 3).
Answer: The liquid you are looking for is liquefied oxygen.

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