In the figure below, a cube of edge length L = 0.550 m and mass 400 kg is suspen
ID: 1974461 • Letter: I
Question
In the figure below, a cube of edge length L = 0.550 m and mass 400 kg is suspended by a rope in an open tank of liquid of density 1030 kg/m3.
(a) Find Ftop, the magnitude of the total downward force on the top of the cube from the liquid and the atmosphere, assuming atmospheric pressure is 1.00 atm.
N
(b) Find Fbottom, the magnitude of the total upward force on the bottom of the cube.
N
(c) Find T, the tension in the rope.
N
(d) Calculate Fbu, the magnitude of the buoyant force on the cube using Archimedes' principle.
N What relation exists among all these quantities? (Select all that apply.)
Fbu = Fbottom - Ftop
Fbu = Fbottom + T
Fbu = T - m
Fbu = m - T
Fbu = Ftop - Fbottom
Explanation / Answer
Ftop, the magnitude of the total downwardforce on the top of the cube from the liquid and the atmosphere,assuming atmospheric pressure is 1.00 atm. 1 atm=105 Pa Ftop=(105 +L/2*1030*9.8)*L2=43.64*103 N (b)bottom, the magnitude of the total upward forceon the bottom of the cube Fbottom==(105+L*3/2*1030*9.8)*L2=46.41*103 N (c)T, the tension in the rope. T=-(Fbottom -Ftop)+ weight of the cube=2328 N (d) Fbu, the magnitude of the buoyantforce on the cube using Archimedes' principle F=1030*9.8*L3=2772 N (e)Fbu=Fbottom-Ftop