# The body in air has a weight of 600N, and in water – 500 N. Determine the volume of the body

January 15, 2021 | education

| **The body in air has a weight of 600N, and in water – 500 N. Determine the volume of the body, considering the density of water 1000kg / m3.**

To find the volume of the taken body, we use the equality: P1 – P2 = Fa = ρw * g * V, whence we express: V = (P1 – P2) / (ρw * g).

Variables and constants: P1 – weight of the body taken in the air (P1 = 600 N); P2 – weight of water (P2 = 500 N); ρw – water density (according to the condition ρw = 1000 kg / m3); g – acceleration due to gravity (g ≈ 10 m / s2).

Calculation: V = (P1 – P2) / (ρw * g) = (600 – 500) / (1000 * 10) = 0.01 m3.

Answer: The volume of the taken body is 0.01 m3.

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