The body weight in air is 35 n, and in water 25 n. Determine the density of the body.

P = 35 N.
PB = 25 N.
ρw = 1000 kg / m ^ 3.
g = 9.8 m / s ^ 2.
ρ -?
The weight of a body in the air is determined by the formula: P = m * g.
The weight of a body in water is determined by the formula: Рв = m * g – Farkh.
The buoyancy force of Archimedes Farch is determined by the formula: Farch = ρw * g * V.
Where ρw is the density of the fluid in which the body is immersed, g is the acceleration of gravity, V is the volume of the immersed part of the body in the fluid.
Рв = Р – ρв * g * V.
V = (Р – Рв) / ρв * g.
m = P / g.
m = ρ * (Р – Рв) / ρв * g.
Р / g = ρ * (Р – Рв) / ρв * g.
ρ = Р * ρв / (Р – Рв).
ρ = 35 N * 1000 kg / m ^ 3 / (35 N – 25 N) = 3500 kg / m ^ 3.
Answer: body density ρ = 3500 kg / m ^ 3.



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