The barge, 20 m long and 5 m wide, sank 10 cm into the water when a tractor was loaded on board. determinant of the tractor weight. Density of water 1000 kg / m³
To find the value of the mass of the taken tractor, we use the equality: Ptr = Fа; mtr * g = ρw * g * V = ρw * g * L * B * h, whence we express: mtr = ρw * L * B * h.
Data: ρw – water density (according to the condition ρw = 1000 kg / m3); L is the length of the indicated barge (L = 20 m); B is the width of the barge (B = 5 m); h – additional depth of immersion in water (h = 10 cm = 0.1 m).
Calculation: mtr = ρw * L * B * h = 1000 * 20 * 5 * 0.1 = 104 kg = 10 tons.
Answer: A tractor loaded onto the indicated barge has a mass of 10 tons.
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