Imagine a particular exoplanet covered in an ocean of liquid ethane. At the surface of the ocean, the acceleration of gravity is 7.00 m/s2, and atmospheric pressure is 9.00 ✕ 104 Pa. The atmospheric temperature and pressure on this planet causes the density of the liquid ethane ocean to be 620 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 ethane with radius 2.00 m? (Enter your answer in N.) What is the mass of the ethane? How is it related to density and volume? What is the volume of a cylinder? What is the weight in terms of mass and gravitational acceleration? Note the gravitational acceleration is not 9.80 m/s2 on this planet. N (c) What is the pressure (in Pa) at a depth of 10.0 m in the ethane ocean? Pa

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Imagine a particular exoplanet covered in an ocean of liquid ethane. At the surface of the ocean, the acceleration of gravity is 7.00 m/s2, and atmospheric pressure is 9.00 ✕ 104 Pa. The atmospheric temperature and pressure on this planet causes the density of the liquid ethane ocean to be 620 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 ethane with radius 2.00 m? (Enter your answer in N.)

What is the mass of the ethane? How is it related to density and volume? What is the volume of a cylinder? What is the weight in terms of mass and gravitational acceleration? Note the gravitational acceleration is not 9.80 m/s2 on this planet. N
(c)
What is the pressure (in Pa) at a depth of 10.0 m in the ethane ocean?
Pa

 

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