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?

Data: V (volume of a body completely immersed in liquid) = 2 dm3; Fa (the force of Archimedes acting on the body) = 14.2 N.

Constants: g (acceleration due to gravity) = 9.81 m / s2.

SI: V = 2 dm3 = 2 * 10-3 m3.

The density of the desired fluid can be determined from the formula for calculating the Archimedes force: Fa = ρ * g * V, whence ρ = Fa / (g * V).

Let’s make calculations: ρ = 14.2 / (9.81 * 2 * 10-3) ≈ 724 kg / m3.

Answer: The desired liquid is gasoline (at 20 ºС its density is in the range of 680 … 800 kg / m3).

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