# The volume of a raft made of spruce beams is 3.6 m3. The density of spruce is 360 kg / m3, and the density

May 29, 2021 | education

| **The volume of a raft made of spruce beams is 3.6 m3. The density of spruce is 360 kg / m3, and the density of water is 1000 kg / m3. What is the maximum mass of cargo that the raft can take while staying afloat.**

Data: V (volume of a raft made of spruce beams) = 3.6 m3; ρ1 (density of the spruce from which the raft is made) = 360 kg / m3.

Reference values: by the condition ρ2 (water density) = 1000 kg / m3.

If the raft takes the maximum weight of the cargo, while staying afloat, the equality will be true: Fт = Fa and (m1 + m2) * g = ρ2 * g * V.

ρ1 * V + m2 = ρ2 * V.

m2 = ρ2 * V – ρ1 * V = V * (ρ2 – ρ1) = 3.6 * (1000 – 360) = 2304 kg.

Answer: The maximum mass that the raft can take is 2304 kg.

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