- Please Do Question F 1 (168.76 KiB) Viewed 47 times
please do question f
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answerhappygod
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please do question f
please do question f
(8\%) Problem 9: A cube with cdges of length L=0.24 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 ϱ0= 0.87×103 kg/m3, as shown in the figure. The cube is submerged in the water to a depth of d=0.065 m, while the rest of the cube is in oil. The cube is suspended by a taut string and is in static equilibrium. 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 ϱc,L, and the acceleration due to gravity, g. W=ecEL∨ Correct? 2 14% Part (c) Calculate the magnitude of the weight of the cube, in newtons W=2.8∗103∗9.81∗0.243W=379.7✓ Correct! (4\% Part (d) Enter an expression for the magnitude of the buoyant force acting on the cube, in terms of ϱw,ϱ0,L,d, and g. FB=gwdL2 g+QoL2( L−d)g✓ Correct! 214 Part (e) Calculate the magnitude of the buoyant force, in newtons. FB=10380.065∗0.242=9.81+0.87∗103∗0.242=9.81∗(0.24−0.065)FB=122.8∨ Correct? D 14\% Part (f) Enter an expression for the tension in the string, in terms of the defined quantities and g. T=ϱcgL3−122.8 Hints: 2 for a 8% deduction. Hints remaining: deduction per feedback. -The cube is in static equilibrium, so the tension force must be balanced by the other forces. -Use the expressions you entered in parts (b) and (d).
(8\%) Problem 9: A cube with cdges of length L=0.24 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 ϱ0= 0.87×103 kg/m3, as shown in the figure. The cube is submerged in the water to a depth of d=0.065 m, while the rest of the cube is in oil. The cube is suspended by a taut string and is in static equilibrium. 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 ϱc,L, and the acceleration due to gravity, g. W=ecEL∨ Correct? 2 14% Part (c) Calculate the magnitude of the weight of the cube, in newtons W=2.8∗103∗9.81∗0.243W=379.7✓ Correct! (4\% Part (d) Enter an expression for the magnitude of the buoyant force acting on the cube, in terms of ϱw,ϱ0,L,d, and g. FB=gwdL2 g+QoL2( L−d)g✓ Correct! 214 Part (e) Calculate the magnitude of the buoyant force, in newtons. FB=10380.065∗0.242=9.81+0.87∗103∗0.242=9.81∗(0.24−0.065)FB=122.8∨ Correct? D 14\% Part (f) Enter an expression for the tension in the string, in terms of the defined quantities and g. T=ϱcgL3−122.8 Hints: 2 for a 8% deduction. Hints remaining: deduction per feedback. -The cube is in static equilibrium, so the tension force must be balanced by the other forces. -Use the expressions you entered in parts (b) and (d).
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