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Problem 3: A cube with edges of length L = 0.29 m and density pe = 3.9×10 kg/m³ is totally submerged in water, with a density of pw = 1.00×103 kg/m, and oil, with a density of p, = 0.84x103 kg/m, 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. Po Pw Part (a) Which of the following figures shows the correct free-body diagram for the cube for the vertical forces acting on it? T M, Submit Hint Feedback I give up! Part (b) Enter an expression for the magnitude of the weight of the cube, in terms of pe, L, and the acceleration due to gravity, g. Part (c) Calculate the magnitude of the weight of the cube, in newtons

Problem 3: A cube with edges of length L = 0.29 m and density pe = 3.9×10 kg/m³ is totally submerged in water, with a density of pw = 1.00×103 kg/m, and oil, with a density of p, = 0.84x103 kg/m, 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. Po Pw Part (a) Which of the following figures shows the correct free-body diagram for the cube for the vertical forces acting on it? T M, Submit Hint Feedback I give up! Part (b) Enter an expression for the magnitude of the weight of the cube, in terms of pe, L, and the acceleration due to gravity, g. Part (c) Calculate the magnitude of the weight of the cube, in newtons

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Problem 3: A cube with edges of length L = 0.29 m and density p.= 3.9x10 kg/m is totally submerged in water, with a density of pw = 1.00×103 kg/m, and oil, with a density of p, = 0.84x10° kg/m, 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. Po Pw Part (a) Which of the following figures shows the correct free-body diagram for the cube for the vertical forces acting on it? +T T F. F. B M+ Submit I give up! Hint Feedback Part (b) Enter an expression for the magnitude of the weight of the cube, in terms of pe, L, and the acceleration due to gravity, g. Part (c) Calculate the magnitude of the weight of the cube, in newtons Part (d) Enter an expression for the magnitude of the buoyant force acting on the cube, in terms of pw. Po: L, d, and g. Part (e) Calculate the magnitude of the buoyant force, in newtons. Part (f) Enter an expression for the tension in the string, in terms of the defined quantities and g. Part (g) Calculate the tension in the string, in newtons. I II II I
Transcribed Image Text:Problem 3: A cube with edges of length L = 0.29 m and density p.= 3.9x10 kg/m is totally submerged in water, with a density of pw = 1.00×103 kg/m, and oil, with a density of p, = 0.84x10° kg/m, 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. Po Pw Part (a) Which of the following figures shows the correct free-body diagram for the cube for the vertical forces acting on it? +T T F. F. B M+ Submit I give up! Hint Feedback Part (b) Enter an expression for the magnitude of the weight of the cube, in terms of pe, L, and the acceleration due to gravity, g. Part (c) Calculate the magnitude of the weight of the cube, in newtons Part (d) Enter an expression for the magnitude of the buoyant force acting on the cube, in terms of pw. Po: L, d, and g. Part (e) Calculate the magnitude of the buoyant force, in newtons. Part (f) Enter an expression for the tension in the string, in terms of the defined quantities and g. Part (g) Calculate the tension in the string, in newtons. I II II I
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