The pressure at 10 below the surface of the ocean is about 2.00×105. Which of the following statements istrue?...

Question

The pressure at 10 m below the surface of the ocean is about 2.00×10⁵_Pa.

Which of the following statements is true?

	The weight of a column of seawater m² in cross section and 10 m high is about 2.00×10⁵_N.
	The weight of a column of seawater 1 m² in cross section and 10 m high plus the weight of a column of air with thesame cross section extending up to the top of the atmosphere isabout 2.00×10⁵_N.
	The weight of 1 m³ of seawater at 10 m below the surface of the ocean is about2.00×10⁵_N.
	The density of seawater is about 2.00×10⁵ times the density of air at sealevel.

Now consider he pressure at 20 m below the surface of the ocean.

This pressure is

	twice that at a depth of 10 m.
	the same as that at a depth of 10 m.
	equal to that at a depth of 10 m plus the weight of a column of seawater 1 m² in cross section and 10 m high.
	equal to the weight of a column of seawater 1 m² in cross section and 20 m high.

[su_box title="♦ Relevant knowledge" box_color="#2d6ff7" radius="1"]

The pressure is the measurement of force that is that is applied to a single surface of the body due to external or internal forces or weight. It is measured by the barometer found in fluids. The pressure is based on the force or weight that is applied to the objects as well as the surface area.

[/su_box]

Linda Wilson · Accepted Answer

Concepts and Reason

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.

Fundamentals

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:

P_stal here is the static fluid pressure.

To get the total pressure, the container must be exposed to the atmosphere.

The expression for total pressure is:

is a total pressure, and P_atm is the atmospheric pressure.

(1) The expression for total pressure is:

here is the total pressure at 10m under the ocean's surface.

Substitute 1.013×10⁵ to P_atm and 1.008×10⁵ to P_stal(10m).

For the force, expression is:

F here is the force.

Substitute 2.021×10⁵ to Pa and 1 m² 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 10m must equal the pressure at a column seawater 1 m² cross section and 10m high.

Part 1: Ans

A column of seawater 1 m² with a cross section of 10m high and a column containing the same cross section that extends to the top is approximately .

Sign Up

Sign In

Forgot Password

ITtutoria Latest Questions

The pressure at 10 below the surface of the ocean is about 2.00×105. Which of the following statements istrue?…

What is the electric flux through the surface shown in the figure?

What is the electric flux ?3 through the annular ring, surface 3?