When immersed in a liquid, an Archimedean force of 14.2N acts on a body with a volume of 2000 cm3.

When immersed in a liquid, an Archimedean force of 14.2N acts on a body with a volume of 2000 cm3. What is the density of the liquid?

To determine the density of the liquid under consideration, we use the formula: Fa = ρж * g * V, whence ρж = Fa / (g * V).

Values of variables and constants: Fa – Archimedean force (Fa = 14.2 N); g – acceleration due to gravity (g ≈ 10 m / s2); V – body volume (V = 2000 cm3; in SI V = 2 * 10-3 m3).

Let’s make a calculation: ρzh = 14.2 / (10 * 2 * 10-3) = 710 kg / m3.

Answer: The density of the liquid in question is 710 kg / m3.