A solid body has a mass of 140 g. When the body is in water, it is acted upon by a buoyant force

A solid body has a mass of 140 g. When the body is in water, it is acted upon by a buoyant force (“Archimedes’ force”) Farch. = 0.56 N. find the density of the substance of the body. density to water 1000 kg / m3

To find the desired density of the substance of the body, we apply the formula: Fa = ρw * g * V = ρw * g * m / ρx, whence we express: ρx = ρw * g * m / Fa.

Constant and variable quantities: ρw – water density (ρw = 1000 kg / m3); g – acceleration due to gravity (g ≈ 10 m / s2); m is the mass of a solid (m = 140 g = 0.14 kg); Fa – buoyancy force (Fa = 0.56 N).

Let’s calculate: ρx = ρw * g * m / Fa = 1000 * 10 * 0.14 / 0.56 = 2500 kg / m3.

Answer: The substance of a solid has a density of 2500 kg / m3.