The Great Red Patch is the term given to the enormous red area on Jupiter's surface. Are there any predictions on how long it will take the planet to complete its rotation?
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- a. Calculate the rotational kinetic energy (in J) of Uranus on its axis. (Assume its mass to be 8.69 ✕ 1025 kg, the period about its axis to be 17.2 h, and its diameter to be 51100 km.) b. What is the rotational kinetic energy (in J) of Uranus in its orbit around the Sun? (Assume its distance from the sun to be 2.87 ✕ 109 km and its period about the sun to be 30700 days.)The figure below shows a spherical hollow inside a lead sphere of radius R = 4.00 cm. The surface of the hollow passes through the center of the sphere and "touches" the right side of the sphere. The mass of the sphere before hollowing was M = 2.50 kg. With what gravitational force does the hollowed-out lead sphere attract a small sphere of mass m = 0.459 kg that lies at a distance d = 9.00 cm from the center of the lead sphere, on the straight line connecting the centers of the spheres and of the hollow?Galileo is often credited with the early discovery of four of Jupiters many moons.The moons orbiting Jupiter follow te same laws of motion as the planets orbiting the sun.One of the moons is called Io - its distance from Jupiter's center is 4.2 units and it orbits Jupiter in 1.8 Earth-days.Another moon is caled Ganymede;it is 10.7 units from Jupiters center. Make a prediction of the period of Ganymede using Keplers law of periods.
- A)At what altitude would a geostationary sattelite need to be above the surface of Mars? Assume the mass of Mars is 6.39 x 1023 kg, the length of a martian solar day is 24 hours 39minutes 35seconds, the length of the sidereal day is 24hours 37minutes 22seconds, and the equatorial radius is 3396 km. The answer can be calculated using Newton's verison of Kepler's third law.Neptune has a mass of 1.0 × 1026 kg and is 4.5 × 10⁹ km from the Sun with an orbital period of 177.5 years. Planetesimals in the outer primordial solar system 4.5 billion years ago coalesced into Neptune over hundreds of millions of years. If the primordial disk that evolved into our present day solar system had a radius of 10¹1 km and if the matter that made up these planetesimals that later became Neptune was spread out evenly on the edges of it, what was the orbital period of the outer edges of the primordial disk? Express your answer rounded to the nearest year, and be sure not to do any rounding before expressing your final answer. P = yearsSkaro is an unknown planet that has two moons in circular orbits. The table summarizes the hypothetical data about the mo Mass Radius Orbital radius Orbital period Moon A 4.0 × 1020 kg 2.0 x 108 m 4.0 × 106 s Moon B 1.5 x 1020 kg 2.0 x 105 m 3.0 x 108 m
- Satellite 1 has a mass m_1m1 and is located a distance r_1r1 away from the center of its host planet. Satellite 2 has half the mass as Satellite 1, but is located four-times the distance from the center of the host planet as Satellite 1. Determine the ratio of the magnitudes of the force of gravity between Satellite 1 and the planet to the force of gravity between Satellite 2 and the planet Ratio = Fplanet-on-1/ Fplanet-on-2Jupiter has lots of moons in orbit around it. One of those moons, Io, was first observed by Galileo (using an early telescope). Io has an average orbital radius about Jupiter of about 4.2 x 108 m and an orbital period of about 1.8 days. Using this data, calculate Jupiter’s mass.A synchronous satellite, which always remains above the same point on a planet's equator, is put in orbit around Jupiter so that scientists can study a surface feature. Jupiter rotates every 9.84 h. Use the data of Table 13.2 to find the altitude of the satellite. km Need Help? Talk to a Tutor
- (a) Calculate the rotational kinetic energy (in J) of Uranus on its axis. (Assume its mass to be 8.69 x 1025 kg, the period about its axis to be 17.2 h, and its diameter to be 51100 km.) (b) What is the rotational kinetic energy (in J) of Uranus in its orbit around the Sun? (Assume its distance from the sun to be 2.87 x 109 km and its period about the sun to be 30700 days.)Neptune has a mass of 1.0 × 1026 kg and is 4.5 × 109 km from the Sun with an orbital period of 165 years. Planetesimals in the outer primordial solar system 4.5 billion years ago coalesced into Neptune over hundreds of millions of years. If the primordial disk that evolved into our present day solar system had a radius of 1011 km and if the matter that made up these planetesimals that later became Neptune was spread out evenly on the edges of it, what was the orbital period of the outer edges of the primordial disk?