The barge sailing along the river has an area of 600m2. A load was placed on it,

The barge sailing along the river has an area of 600m2. A load was placed on it, after which the draft of the barge increased by 30 cm. Find the mass of the load placed on the barge.

Initial data: S (barge area) = 600 m2; Δh (increase in barge draft) = 30 cm (0.3 m).

Reference values: ρ (density of river water) = 1000 kg / m3.

The mass of the cargo that was placed on the barge is determined from the equality: ΔFa = ΔFт; ρ * g * ΔV = Δm * g and Δm = ρ * S * Δh.

Calculation: Δm = 1000 * 600 * 0.3 = 180 * 10 ^ 3 kg (180 t).

Answer: A cargo weighing 180 tons was placed on the barge.