### Understanding the Weight of Earth's AtmosphereThe weight of Earth's atmosphere exerts an average pressure of \(1.01 \times 10^5\) Pa (Pascals) on the ground at sea level. Use the definition of pressure to estimate the weight of Earth's atmosphere in Newtons (N) by approximating Earth as a sphere.Given:- Radius of Earth, \( R_E = 6.38 \times 10^6 \) meters.- Surface area of Earth, \( A = 4 \pi R_E^2 \).By understanding the relationship between pressure, force, and area, you can determine the weight of the Earth's atmosphere.**Hint:**The pressure \( P \) on a surface is given by:\[ P = \frac{F}{A} \]Where:- \( P \) is the pressure.- \( F \) is the force (or weight in this context).- \( A \) is the area.Rearranging the formula to solve for \( F \):\[ F = P \times A \]Plug in the given values to solve for the weight of the atmosphere.### Calculation Steps:1. Calculate the surface area of Earth using the radius and the surface area formula for a sphere.2. Multiply the surface area by the given pressure to find the force, which represents the weight of the atmosphere in Newtons.**Input your result in the box provided:**\[ \_\_\_\_ \text{ N} \]By following these steps, you can estimate the weight of Earth's atmosphere.

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Description: ### Understanding the Weight of Earth's AtmosphereThe weight of Earth's atmosphere exerts an average pressure of \(1.01 \times 10^5\) Pa (Pascals) on the ground at sea level. Use the definition of pressure to estimate the weight of Earth's atmospher

Given: Pressure, P = 1.01 x 105 Pa R = 6.38 x 108 m

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The weight of Earth's atmosphere exerts an average pressure of 1.01 x 105 Pa on the ground at sea level. Use the definition of pressure to estimate the weight of Earth's atmosphere (in N) by approximating Earth as a sphere of radius RE = 6.38 x 10° m and surface area a = 4.tRĘ?.

The weight of Earth's atmosphere exerts an average pressure of 1.01 x 105 Pa on the ground at sea level. Use the definition of pressure to estimate the weight of Earth's atmosphere (in N) by approximating Earth as a sphere of radius RE = 6.38 x 10° m and surface area a = 4.tRĘ?.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Fluid Pressure

The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.

Gauge Pressure

Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.

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Question

### Understanding the Weight of Earth's Atmosphere

The weight of Earth's atmosphere exerts an average pressure of \(1.01 \times 10^5\) Pa (Pascals) on the ground at sea level. Use the definition of pressure to estimate the weight of Earth's atmosphere in Newtons (N) by approximating Earth as a sphere.

Given:
- Radius of Earth, \( R_E = 6.38 \times 10^6 \) meters.
- Surface area of Earth, \( A = 4 \pi R_E^2 \).

By understanding the relationship between pressure, force, and area, you can determine the weight of the Earth's atmosphere.

**Hint:**

The pressure \( P \) on a surface is given by:

\[ P = \frac{F}{A} \]

Where:
- \( P \) is the pressure.
- \( F \) is the force (or weight in this context).
- \( A \) is the area.

Rearranging the formula to solve for \( F \):

\[ F = P \times A \]

Plug in the given values to solve for the weight of the atmosphere.

### Calculation Steps:
1. Calculate the surface area of Earth using the radius and the surface area formula for a sphere.
2. Multiply the surface area by the given pressure to find the force, which represents the weight of the atmosphere in Newtons.

**Input your result in the box provided:**

\[ \_\_\_\_ \text{ N} \]

By following these steps, you can estimate the weight of Earth's atmosphere.

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