Imagine a particular exoplanet covered in an ocean of liquid methane. At the surface of the ocean, the acceleration of gravity is 7.00 m/s2, and atmospheric pressure is 8.60 x 104 Pa. The atmospheric temperature and pressure on this planet causes the density of the liquid methane ocean to be 415 kg/m³. (a) What force (in N) is exerted by the atmosphere on a disk-shaped region 2.00 m in radius at the surface of the ocean? N (b) What is the weight, on this exoplanet, of a 10.0 m deep cylindrical column of methane with radius 2.00 m? (Enter your answer in N.) N (c) What is the pressure (in Pa) at a depth of 10.0 m in the methane ocean? Pa

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Imagine a particular exoplanet covered in an ocean of liquid methane. At the surface of the ocean, the acceleration of gravity is 7.00 m/s², and atmospheric pressure is 8.60 x 10⁴ Pa. The atmospheric temperature and pressure on this planet cause the density of the liquid methane ocean to be 415 kg/m³.

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

[Input box for answer] N

**(b)** What is the weight, on this exoplanet, of a 10.0 m deep cylindrical column of methane with radius 2.00 m? (Enter your answer in N.)

[Input box for answer] N

**(c)** What is the pressure (in Pa) at a depth of 10.0 m in the methane ocean?

[Input box for answer] Pa
Transcribed Image Text:Imagine a particular exoplanet covered in an ocean of liquid methane. At the surface of the ocean, the acceleration of gravity is 7.00 m/s², and atmospheric pressure is 8.60 x 10⁴ Pa. The atmospheric temperature and pressure on this planet cause the density of the liquid methane ocean to be 415 kg/m³. **(a)** What force (in N) is exerted by the atmosphere on a disk-shaped region 2.00 m in radius at the surface of the ocean? [Input box for answer] N **(b)** What is the weight, on this exoplanet, of a 10.0 m deep cylindrical column of methane with radius 2.00 m? (Enter your answer in N.) [Input box for answer] N **(c)** What is the pressure (in Pa) at a depth of 10.0 m in the methane ocean? [Input box for answer] Pa
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