What would be the mass of Jupiter if it were composed entirely of hydrogen at a density of 0.08 kg/m³ (the density of hydrogen at sea level on Earth)?
Q: A spherical planet has an outer radius R; its density p varies as a function of distance r given by…
A: Given data: The density function is, ρr=3-2r2R2.
Q: The mean diameters of planets A and B are 9.8 x 103 km and 2.6 × 104 km, respectively. The ratio of…
A: diameter of A = 9800 km diameter of B = 26000 km mass of Amass of B = mAmB = 0.93
Q: A moon of Uranus takes 13.5 days to orbit at a distance of 5.8 ✕ 105 km from the center of the…
A: The orbital period of the moon of Uranus, T=13.5 days×24 hours1 day×3600 s1 hour=1.166400×106 s The…
Q: You have been assigned to a team charged with developing a plan to explore a new planetary body…
A: Given g=2.8 m/s2 specific gravity of oil=0.93 weight of oil=4 lbf
Q: Calculate the escape velocity from the surface of a world with mass 2.80 x 1024 kg and radius 6.50 x…
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Q: The average density of the planet Mercury in 5.61 * 10^3 kg/m^3. The acceleration of gravity on its…
A: Given: Average density of mercury planet , ρ=5.61×103 kg/m3 Gravitational acceleration on planet…
Q: A moon of Uranus takes 13.5 days to orbit at a distance of 5.8 ✕ 105 km from the center of the…
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Q: Imagine a particular exoplanet covered in an ocean of liquid methane, At the surface of the ocean,…
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Q: What is approximately the gravitational force of the sun on the planet mars? (RMs= 2.28 × 10ºkm, M,…
A: Given data: Distance between Sun and Mars (RMS) = 2.28×108 km Mass of Sun (Ms) = 1.99×1030 kg Mass…
Q: A team of astronauts is on a mission to land on and explore a large asteroid. In addition to…
A: Given: The volume is V=1.94X1012 m3. The density is ρ=2.93×106 gm3. The gravitational constant is…
Q: The star Sirus A has a mass of 2.06 MO and a radius of 1.71 RO, where M0 is the mass of the Sun…
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Q: An armored bulldozer is dispatched to the planet to drill out two spherical holes in it. The holes…
A: Write the expression for the volume of the sphere. V=43πR3 Write the expression for the mass of the…
Q: The asteroid 243 Ida has a mass of about 4.0×1016kg4.0×1016kg and an average radius of about 16 kmkm…
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Q: Imagine a particular exoplanet covered in an ocean of liquid methane. At the surface of the ocean,…
A: Given data The acceleration due to gravity for an exoplanet is g = 4.60 m/s2. The atmospheric…
Q: The escape velocity from the surface of planet A is 5700 m/s. Planet B has the same mass but the…
A: Given that: vA=5700 m/s MA=MB RB=(1/3)RA
Q: Imagine a particular exoplanet covered in an ocean of liquid ethane. At the surface of the ocean,…
A: Atmospheric pressure = 9.00 ✕ 104 Pa force on a disk-shaped region 2.00 m in radius at the surface…
Q: A planet has a mass of M1, a radius of R1, and a density of ρ1. A second planet has a mass of M2, a…
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Q: Imagine a particular exoplanet covered in an ocean of liquid methane. At the surface of the ocean,…
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Q: The average density of the planet Neptune is 1.67 x 10 ² kg/m² It's up. The ratio of the mass of…
A: Given data Average density of planet Neptune is (Dn) = 1.67 x 102 kg/m2 Ratio of the mass of the…
Q: The mass of planet Q is one-tenth of the mass of Earth and the radius of planet Q is one-half of the…
A: Definition of gravitational field : Intensity of gravitational field at a point is defined as…
Q: Imagine a particular exoplanet covered in an ocean of liquid ethane. At the surface of the ocean,…
A: Given, Acceleration of gravity g=5.10 m/s2 Atmospheric pressure, P=8.40×104 Pa Density ρ=620 kg/m3…
Q: NOTE: Your answer suggests that you have assumed constant gravitational
A: Explained as, F=-GMMR+y2
Q: Imagine a particular exoplanet covered in an ocean of liquid ethane. At the surface of the ocean,…
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Q: The specific gravity of honey is 1.45. A cylindrical container of honey 10 feet [ft] deep is inside…
A: Specific gravity = density of honey /density of water=1.45 We know that density of water =…
Q: Imagine a particular exoplanet covered in an ocean of liquid methane. At the surface of the ocean,…
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Q: Imagine a particular exoplanet covered in an ocean of liquid ethane. At the surface of the ocean,…
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Q: On the surface of a planet, you step on a bathroom scale and observe a reading of 180 N. You then…
A: At a depth h below the surface of the earth, the value of ‘g’ can be written as
Q: In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core…
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Q: You have a super high-tech spacecraft travelling through space that gets caught in a circular orbit…
A: Step 1:Step 2:Step 3: Step 4:
Q: What is the escape velocity in km/s from Jupiter's exosphere, which begins about 995 km above the…
A: The escape velocity from Jupiter exosphere is, ve=2GMR=2GMR+h
Q: itan has a radius of 2500.0 km and a mean density of 2.0 g/cm3. Earths moon has a radius of 1737.0…
A: Given: The radius of the Titan is 2500 km. The mean density of the Titan is 2 g/cm3. The radius of…
Q: Consider a planet that has two layers. There is a core, which has density 9.9 x 103 kg/m3 and…
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Q: In the book 2010: Odyssey Two, Chinese astronauts land on Europa, one of Jupiters Moons. Suppose one…
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Q: A round asteroid has a surface gravity of 0.0288 m/s2. If the mass of the asteroid is 1.10 x 1018…
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- Needs Complete solution.Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 km (or even higher) above the surface. Io has a mass of 8.93×1022kg8.93×1022kg and a radius of 1821 km. How high would this material go on earth if it were ejected with the same speed as on Io? (RE = 6370 km, mE=5.96×1024kg)On February 15, 2013, Asteroid 2012 DA14 passed within 17,200 miles [mi] of the surface of the Earth at a relative speed of 7.8 kilometers per second [km/s]. This is considerably closer than the orbit of geosynchronous satellites (26,200 miles). This is the closest recorded approach of an object this large. The asteroid 2012 DA14 was estimated to have a diameter of 30 meters [m] and a specific gravity of 3. If 2012 DA14 had hit the Earth, what is the total amount of energy that would have been released (i.e., what was the kinetic energy of the asteroid)? Express your answer in megatons [Mton]. One megaton is the energy released by one million metric tons of TNT explosive. A metric ton equals 1,000 kilograms [kg], and the explosive energy of TNT is 4,184 joules per gram [J/g].
- A very dense UFS (Unidentified Flying Sphere) has radius 1370_m and acceleration due to gravity 9.4 m/s at its surface. Find the mass of the sphere. (Note that the mass is given in exagrams or Eg, and 1 Eg = 1018 grams.) 310.6 Eg 252.4 Eg 276.5 Eg 264.5_Eg 290 Eg 300.4 Eg А. D. В. Е. С. F.Rick is an Aerospace Engineer at NASA’s Jet Propulsions Laboratory (JPL), and is designing the next mission to Pluto called “New Horizons 2: The Sequel". This time Rick plans to study Pluto's largest moon Charon. Charon has a mass of 1.586 ×1021 kg and a mean radius of 606 km, and might have a nitrogenous atmosphere (N2) just like Pluto. If, for a massive object to have an atmosphere its escape speed must be 12 times greater than the root-mean- square (rms) velocity of the gas (otherwise the gas will slowly leak away over time), what is the maximum temperature that Charon can have and still have a nitrogenous atmosphere? [Charon has a temperature of -281 °C = 55 K, day or night.]The mean diameters of planets A and B are 9.3 × 103 km and 1.8 × 104 km, respectively. The ratio of the mass of planet A to that of planet B is 0.88. (a) What is the ratio of the mean density of A to that of B? (b) What is the ratio of the gravitational acceleration on A to that on B? (c) What is the ratio of escape speed on A to that on B?
- Kepler-10c is another exoplanet orbiting another star. It has a mass that is approximately 17.0 times the mass of the Earth. It has a radius that is approximately 2.4 times the that of the Earth. Stats for the Earth (Given): MEarth = 6×1024[kg]. REarth = 6.4×106[m]. Question: What is the escape velocity of an object sitting on the surface of Kepler-10c ? Round to the nearest [km/s] 30 [km/s] 24 [km/s] 20 [km/s] 18 [km/s] 16 [km/s] 14 [km/s] 11 [km/s] None of the answers is even close to correctPart 2 (b) What initial speed is needed so that when the object is far from Saturn its final speed is 0 m/s? (This is called the "escape speed.") Vescape = i m/sImagine a particular exoplanet covered in an ocean of liquid ethane. At the surface of the ocean, the acceleration of gravity is 7.60 m/s2, and atmospheric pressure is 8.80 ✕ 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
- What is the escape speed on the surface of Neptune? (the mass of Neptune is 1.02 x 1026 kg and the radius o Neptune is 2.48 x 10’m)The mean diameters of planets A and B are 7.3 × 103 km and 1.2 × 104 km, respectively. The ratio of the mass of planet A to that of planet B is 0.41. (a) What is the ratio of the mean density of A to that of B? (b) What is the ratio of the gravitational acceleration on A to that on B? (c) What is the ratio of escape speed on A to that on B?