During the manufacture of the raft, 25 pine logs were tied. Determine the weight of the cargo that can be placed

During the manufacture of the raft, 25 pine logs were tied. Determine the weight of the cargo that can be placed on the raft if the volume of each log is 0.8 m³, the density of water is 1000 kg / m³, the density of pine is 650 kg / m³.

The maximum weight of cargo that the raft can withstand can be calculated using the formula:
Р = Fa – Fт.
Fa is the strength of Archimedes; Fa = ρw * g * V, where ρw is the density of water (ρ = 1000 kg / m ^ 3), g is the acceleration of gravity (we take g = 10 m / s ^ 2), V is the volume of the raft (V = 25 * 0.8 m ^ 3 = 20 m ^ 3).
Fт is the force of gravity; Fт = m * g, where m is the mass of the raft (m = ρс * V, ρс – pine density (ρс = 650 kg / m ^ 3)).
Р = ρв * g * V – ρс * V * g = g * V * (ρв – ρс) = 10 * 20 * (1000- 650) = 10 * 20 * 350 = 70,000 N = 70 kN.
Answer: The maximum load weight is 70 kN.