Suppose a distant world with surface gravity of 6.24 m/s2 has an atmospheric pressure of 7.08 ✕ 104 Pa at the surface. (a) What force is exerted by the atmosphere on a disk-shaped region 2.00 m in radius at the surface of a methane ocean? (b) What is the weight of a 10.0-m deep cylindrical column of methane with radius 2.00 m? Note: The density of liquid methane is 415 kg/m3. (c) Calculate the pressure at a depth of 10.0 m in the methane ocean.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Fluid Mechanics
Section: Chapter Questions
Problem 18P
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Suppose a distant world with surface gravity of 6.24 m/s2 has an atmospheric pressure of 7.08 ✕ 104 Pa at the surface.

(a) What force is exerted by the atmosphere on a disk-shaped region 2.00 m in radius at the surface of a methane ocean?

(b) What is the weight of a 10.0-m deep cylindrical column of methane with radius 2.00 m? Note: The density of liquid methane is 415 kg/m3.

(c) Calculate the pressure at a depth of 10.0 m in the methane ocean.

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