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4. The vessel shown in the diagram contains 10 cm of a fluid with density 6 g/cm³. On

top of this fluid are 20 cm of water with a density of 1 g/cm³. The vessel is sealed

and pressurized to a gauge pressure of 10,000 Pa. The bottom of the vessel is

square with 15 cm width.

a. [4] What is the gauge pressure (Pa) at the water and denser fluid interface.

11960 Pa

15 cm

b. [4] What is the gauge pressure (Pa) at the bottom of the vessel.

17840 Pa

c. [8] If the vessel is a square shape on the bottom, what is the net force (N) on one

wall of the vessel in the x direction on the bottom 10 cm of the wall. (assume the

vessel wall is rectangular in shape and perpendicular to the bottom for this

section of the vessel).

223.5 N

Fig: 1