Problem 6: A cube with edges of length L = 0.23 m and density g. = 3.2x103 kg/m³ is totally submerged in water, with a density of gw = 1.00x10, kg/m³, and oil, with a density of g, = 0.81x10 kg/m³, as shown in the figure. The cube is submerged in the Po 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. d -L- Pw Part (a) Which of the following figures shows the correct free-body diagram for the cube for the vertical forces acting on it? SchematicChoice: +T F. T В B *W F. T B Part (b) Enter an expression for the magnitude of the weight of the cube, in terms of o., L, and the acceleration due to gravity, g. Expression : W = Select from the variables below to write your expression. Note that all variables may not be required. B. y. Q. Qe. 0.. Pw. 0, d, g, h, j. L, m, n. P Part (c) Calculate the magnitude of the weight of the cube, in newtons Numeric : A numeric value is expected and not an expression. W =381,9 Part (d) Enter an expression for the magnitude of the buoyant force acting on the cube, in terms of gw. go. L, d, and g. Expression : FB= Select from the variables below to write your expression. Note that all variables may not be required. B. Y. Q. Qe. Po. Qw. 0, d, g. h, j. L, m, n, P Part (e) Calculate the magnitude of the buoyant force, in newtons. Numeric : A numeric value is expected and not an expression. FB =- 105.) Part (f) Enter an expression for the tension in the string, in terms of the defined quantities and g. Expression : T = Select from the variables below to write your expression. Note that all variables may not be required. B. y. Q. ge. Qo: Qw. 0, d. g. h, j. L, m, n, P Part (g) Calculate the tension in the string, in newtons. Numeric : A numeric value is expected and not an expression. T =

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 14.7OQ
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Problem 6: A cube with edges of length L = 0.23 m and density g. = 3.2x103 kg/m³ is
totally submerged in water, with a density of gw = 1.00x10, kg/m³, and oil, with a
density of g, = 0.81x10³ kg/m³, as shown in the figure. The cube is submerged in the
Po
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.
d
-L-
Pw
Part (a) Which of the following figures shows the correct free-body diagram for the cube for the vertical forces acting on it?
SchematicChoice:
+T
F.
T
В
B
*W
F.
T
B
Part (b) Enter an expression for the magnitude of the weight of the cube, in terms of o., L, and the acceleration due to gravity, g.
Expression :
W =
Select from the variables below to write your expression. Note that all variables may not be required.
B. Y. Q. Qe• Qo• Qw• 0, d, g. h, j, L, m, n, P
Part (c) Calculate the magnitude of the weight of the cube, in newtons
Numeric : A numeric value is expected and not an expression.
W = _381, 9
Part (d) Enter an expression for the magnitude of the buoyant force acting on the cube, in terms of gw. Qo, L, d, and g.
Expression :
FB =.
Select from the variables below to write your expression. Note that all variables may not be required.
B. Y. Q. Qc. Qo• Qw• 0, d, g, h, j. L, m, n, P
Part (e) Calculate the magnitude of the buoyant force, in newtons.
Numeric : A numeric value is expected and not an expression.
FB =-
105.)
Part (f) Enter an expression for the tension in the string, in terms of the defined quantities and g.
Expression :
T =.
Select from the variables below to write your expression. Note that all variables may not be required.
B. y. Q. ge. Qo: Qw. 0, d, g. h, j. L, m, n, P
Part (g) Calculate the tension in the string, in newtons.
Numeric : A numeric value is expected and not an expression.
T =
Transcribed Image Text:Problem 6: A cube with edges of length L = 0.23 m and density g. = 3.2x103 kg/m³ is totally submerged in water, with a density of gw = 1.00x10, kg/m³, and oil, with a density of g, = 0.81x10³ kg/m³, as shown in the figure. The cube is submerged in the Po 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. d -L- Pw Part (a) Which of the following figures shows the correct free-body diagram for the cube for the vertical forces acting on it? SchematicChoice: +T F. T В B *W F. T B Part (b) Enter an expression for the magnitude of the weight of the cube, in terms of o., L, and the acceleration due to gravity, g. Expression : W = Select from the variables below to write your expression. Note that all variables may not be required. B. Y. Q. Qe• Qo• Qw• 0, d, g. h, j, L, m, n, P Part (c) Calculate the magnitude of the weight of the cube, in newtons Numeric : A numeric value is expected and not an expression. W = _381, 9 Part (d) Enter an expression for the magnitude of the buoyant force acting on the cube, in terms of gw. Qo, L, d, and g. Expression : FB =. Select from the variables below to write your expression. Note that all variables may not be required. B. Y. Q. Qc. Qo• Qw• 0, d, g, h, j. L, m, n, P Part (e) Calculate the magnitude of the buoyant force, in newtons. Numeric : A numeric value is expected and not an expression. FB =- 105.) Part (f) Enter an expression for the tension in the string, in terms of the defined quantities and g. Expression : T =. Select from the variables below to write your expression. Note that all variables may not be required. B. y. Q. ge. Qo: Qw. 0, d, g. h, j. L, m, n, P Part (g) Calculate the tension in the string, in newtons. Numeric : A numeric value is expected and not an expression. T =
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