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?.

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### 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.
Transcribed Image Text:### 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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