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(17%) Problem 5: A cube with edge length L = 0.28 m and density Qc = 3.7x105 kg/m3 is exactly half submerged in a liquid
(17%) Problem 5: A cube with edge length L = 0.28 m and density Qc = 3.7x105 kg/m3 is exactly half submerged in a liquid of density 91 = 0.87x105 kg/m', as shown in the figure. The cube is suspended by a taut string and is in static equilibrium. L/2 13% Part (a) Which of the following figures shows the correct free-body diagram for the cube for the vertical forces acting on it? T F . Correct! 13% Part (b) Enter an expression for the magnitude of the weight of the cube, in terms of Oc, L, and the acceleration due to gravity, g. w = Qc L' g Correct! 13% Part (c) Calculate the magnitude of the weight of the cube, in newtons. W = 795.9 Correct! *13% Part (d) Enter an expression for the magnitude of the buoyant force acting on the cube, in terms of 91, L, and g. Grade Summary FB = Deductions 4% Potential 96% B Y 7 8 9 HOME Submissions d 4 5 6 Attempts remaining: 8 (1% per attempt) g h i 2 3 detailed view 1% K L m + 0 END 2 1% n P S VO BACKSPACE CLEARHints: 1 for a 1% deduction. Hints remaining: 0 Feedback: 1 for a 1% deduction -Use the definition of buoyancy force in terms of the volume and density of liquid No meaningful feedback available for the current submission. and the volume of water displaced. Don't forget that only half of the volume of the cube is under the surface of the liquid. A 13% Part (e) Calculate the magnitude of the buoyant force, in newtons. A 13% Part (f) Enter an expression for the magnitude of the tension in the string, in terms of the defined quantities and g. A 13% Part (g) Calculate the tension in the string, in newtons. A 13% Part (h) If the block is submerged more, what will happen to the tension
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