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(10%) Problem 6: A cube with edges of length L = 0.23 m and density 0 = 3.1x10 kg/m is totally submerged in water, with
(10%) Problem 6: A cube with edges of length L = 0.23 m and density 0 = 3.1x10 kg/m is totally submerged in water, with a density of Ow = 1.00x103 kg/m , and oil, with a density of go Po = 0.89x10' kg/m , as shown in the figure. The cube is submerged in the water to a depth of d = 0.085 m, while the rest of the cube is in oil. The cube is suspended by a taut string and is in static equilibrium. -2 - PW Otheexpertta.com 14% Part (a) Which of the following figures shows the correct free-body diagram for the cube for the vertical forces acting on it? Correct! 14% Part (b) Enter an expression for the magnitude of the weight of the cube, in terms of @, L, and the acceleration due to gravity, g. W= ecgL' . Correct! 14% Part (c) Calculate the magnitude of the weight of the cube, in newtons W = 369.63 W = 369.6 Correct! 14% Part (d) Enter an expression for the magnitude of the buoyant force acting on the cube, in terms of ow, 20. L, d, and g. FB= QwgdL2 + go 8(L-d) L2 . Correct! 14% Part (e) Calculate the magnitude of the buoyant force, in newtons. FB = 111.1 Correct! 14% Part (f) Enter an expression for the tension in the string, in terms of the defined quantities and g. T=ecgL' - (QwgdLZ + go(8) (L-d) 12) Correct! *14% Part (g) Calculate the tension in the string, in newtons. T= - 1039 Grade Summary Deductions 0% Potential 100% sin() cos () tan() ST ( 7 8 9 HOME cotan() asin() acos() E 1 4 5 6 Submissions atan() acotan() sinh() * 1 2 3 Attempts remaining: 996 END (0% per attempt) cosh() tanh() cotanh() 0 detailed view o Degrees . Radians VO BACKSPA DEL CLEAR 0% WNH Submit Hint Feedback I give up! 0% 0%
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