A cube with edges of length L = 0.19 m and density ρc = 2.8×103 kg/m3 is totally submerged in water, with a density of ρw = 1.00×103 kg/m3, and oil, with a density of ρo = 0.93×103 kg/m3, as shown in the figure. The cube is submerged in the water to a depth of d = 0.055 m, while the rest of the cube is in oil. The cube is suspended by a taut string and is in static equilibrium. 1) Enter an expression for the magnitude of the buoyant force acting on the cube, in terms of ρw, ρo, L, d, and g. 2) Calculate the magnitude of the buoyant force, in newtons. 3) Enter an expression for the tension in the string, in terms of the defined quan
A cube with edges of length L = 0.19 m and density ρc = 2.8×103 kg/m3 is totally submerged in water, with a density of ρw = 1.00×103 kg/m3, and oil, with a density of ρo = 0.93×103 kg/m3, as shown in the figure. The cube is submerged in the water to a depth of d = 0.055 m, while the rest of the cube is in oil. The cube is suspended by a taut string and is in static equilibrium.
1) Enter an expression for the magnitude of the buoyant force acting on the cube, in terms of ρw, ρo, L, d, and g.
2) Calculate the magnitude of the buoyant force, in newtons.
3) Enter an expression for the tension in the string, in terms of the defined quantities and g.
4) Calculate the tension in the string, in newtons.
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