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

Imagine a particular exoplanet covered in an ocean of liquid ethane. At the surface of the ocean, the acceleration of gravity is 6.50 m/s2, and atmospheric pressure is 7.20 ✕ 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.) ____N   (c) What is the pressure (in Pa) at a depth of 10.0 m in the ethane ocean? ____Pa

The bends during flight. Anyone who scuba dives is advised not to fly within the next 24 h because the air mixture for diving can introduce nitrogen to the bloodstream. Without allowing the nitrogen to come out of solution slowly, any sudden air-pressure reduction (such as during airplane ascent) can result in the nitrogen forming bubbles in the blood, creating the bends, which can be painful and even fatal. Military special operation forces are especially at risk. What is the magnitude of the change in pressure on such a special-op soldier who must scuba dive at a depth of 19 m in seawater one day and parachute at an altitude of 7.5 km the next day? Assume that the average air density within the altitude range is 0.84 kg/m3.

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The free-fall acceleration on the surface of a fictional planet is about 1/2 that on the surface of the Earth.. The radius of the planet is about 0.71RE (where we use the symbol RE = Earth's radius). Find the ratio of their average densities, pp/Pɛ. Please feel free to look up the earth"s radius in the table in your text-book.

common belief is that a hole in a jet plane can suck a person out. On an episode of a popular TV series, the hosts attempted to determine whether this is possible. According to the hosts' experiment, such an event cannot happen. Did they need to perform the experiment? As a science adviser to the show, the hosts ask you to perform a crude calculation to test the myth. A typical jet plane travels at 532 mph at a cruising altitude of 30500 ft. The windows on a jet plane measure 14.0 in × 14.0 in. Calculate the force ? exerted on such a window as the plane flies at 30500 ft above the sea level. Assume the density and pressure of air at 30500 ft are 0.452 kg/m3 and 292 mbar, respectively, but that the interior of the plane remains pressurized to atmospheric pressure, 1 atm.   Calculate the fractional difference between this force and the weight ?man of a typical adult male (185 lb).     How would you respond to Adam and Jaime? a)There is no need to perform the…

A hurricane is a tropical storm formed over the ocean by low atmospheric pressure. As a hurricane approaches land, inordinate ocean swells with a very high tides accompany the hurricane. Normally for a hurricane, there is an "eye" located at the center with very low wind velocity. Figure Q2a depicts a hurricane hovering over the ocean swell below. The atmospheric pressure at the point 1, generally normal for the ocean, which is located 300 km from the eye is 10 m in mercury (Hg). At point 1, the winds are calm. Given that the density of seawater and mercury is 1023.6 kg/m3 and 13534 kg/m3 , respectively, and the density of air at normal sea level temperature and pressure to be 1.22 kg/m3. i. Apply a proper form of energy conservation principle and estimate the ocean swells at the eye of the hurricane at point 3 (h1) and point 2 (h2). Please note that the wind velocity at the eye of the hurricane (point 3) is very low and the wind velocity at point 2 is 70 m/s. List down all the…

What is the escape velocity in km/s from Jupiter's exosphere, which begins about 995 km above the surface? Assume the Gravitational constant is G = 6.67 × 10-11 m3 kg-1 s-2 , and that Jupiter has a mass of 2.2e+27 kg and a radius of 71.0 × 103 km.

A common belief is that a hole in a jet plane can suck a person out. On an episode of a popular TV series, the hosts attempted to determine whether this is possible. According to the hosts' experiment, such an event cannot happen. Did they need to perform the experiment? As a science adviser to the show, the hosts ask you to perform a crude calculation to test the myth. A typical jet plane travels at 542 mph542 mph at a cruising altitude of 25500 ft.25500 ft. The windows on a jet plane measure 14.0 in14.0 in × 14.0 in.14.0 in. Calculate the force ?F exerted on such a window as the plane flies at 25500 ft25500 ft above the sea level. Assume the density and pressure of air at 25500 ft25500 ft are 0.562 kg/m30.562 kg/m3 and 382 mbar,382 mbar, respectively, but that the interior of the plane remains pressurized to atmospheric pressure, 1 atm.1 atm. ?=F=   lblb Calculate the fractional difference between this force and the weight ?manwman of a typical adult male (185…

The specific gravity of honey is 1.44. A cylindrical container of honey 10 feet​ [ft] deep is inside a dome pressurized to a surface pressure of 0.06 atmospheres​ [atm] on the surface of Pluto. The total pressure at the bottom of the container is 65 millimeters of mercury​ [mm Hg]. What is the gravitational acceleration of​ Pluto, in units of meters per second squared m/s2​?