When fully immersed in a liquid, an Archimedean force of 40 N acts on a body with a volume

When fully immersed in a liquid, an Archimedean force of 40 N acts on a body with a volume of 4 dm squared. What kind of liquid is it?

To find the type of liquid in question, we apply the formula: Fa = ρх * g * V and ρх = Fa / (g * V).

Constants and variables: Fa – Archimedean force (Fa = 40 N); g – acceleration due to gravity (g ≈ 10 m / s2); V is the volume of the body taken (V = 4 dm3 = 4 * 10-3 m3).

Calculation: ρх = Fa / (g * V) = 40 / (10 * 4 * 10-3) = 1000 kg / m3.

Answer: The considered liquid is fresh water.