The pressure at 10 below the surface of the ocean is about2.00×105. Which of the following statements istrue?…
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Question “The pressure at 10 below the surface of the ocean is about2.00×105. Which of the following statements istrue?…”
istrue?
Answer
This problem can be solved by combining variation in pressure and depth within a fluid.
To calculate the total pressure, first use relation between atmospheric pressure and static liquid pressure
To calculate the force, use the relationship between area and total pressure.
The container can be used to measure the fluid’s depth.
The expression for the object’s weight is:
W refers to the object’s weight, M refers to the object’s mass, and G indicates the acceleration caused by gravity.
The volume of the object is
A refers to the area of an object, and H refers to the fluid’s depth.
For the force, expression is:
F here is the force.
The static fluid pressure can be expressed as:
refers to the static fluid pressure.
To get the total pressure, the container must be exposed to the atmosphere.
The expression for total pressure is:
represents the total pressure, and
the atmospheric pressure.
(1)
The expression for total pressure is:
represents the total pressure at #media_tag_10$ under the ocean’s surface.
Substitute HTMLmedia_tag_11$ to
or HTMLmedia_tag_13$ to
.
For the force, expression is:
F here is the force.
Substitute HTMLmedia_tag_17$ to
or HTMLmedia_tag_19$ to A.
(2)
The static fluid pressure can be expressed as:
Consider the pressure at 20 meters below the ocean’s surface. The pressure at 20m will equal the pressure at 10m plus the pressure at the 10m top 10m below.
This means that the pressure at a depth
plus the weight of a column seawater in cross-section and high must equal the
.
Part 1: Ans
A column of seawater tag_25$ with a cross section of
high and a column containing the same cross section but extending to the top is about .
Conclusion
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