Chapter 9, Problem 3P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# The weight of Earth’s atmosphere exerts an average pressure of 1.01 × 105 Pa on the ground at sea level. Use the definition of pressure to estimate the Height of Earth’s atmosphere by approximating Earth as a sphere of radius RE = 6.38 × 106 m and surface area A = 4π R E 2 .

To determine
The weight of Earth’s atmosphere.

Explanation
The average pressure exerted by the atmosphere at sea level is P=F/A=W/4Ï€RE2 and this expression is rearranged for weight of Earth.

Given info: The average pressure due to Earthâ€™s atmosphere is 1.01Ã—105â€‰N/m2 and radius of Earth is 6.38Ã—106â€‰m .

The formula for the weight of Earthâ€™s atmosphere is,

W=4Ï€RE2P

• RE is radius of Earth.
• P is average pressure exerted by the atmosphere.

Substitute 1.01Ã—105â€‰N/m2 for P and 6

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