How far apart are the moonlets in km if the angle between them from the planet's center is 30 degrees? The density of the asteroid in kg/m^3.

Q: Consider a spherical asteroid with radius 28.2 km and mass of 5.69 x 1018 kg. The acceleration due…

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Q: Titan is the largest moon of Saturn, and the only moon in the solar system known to have a…

A: Given  Radius = 2570 km = 2570 × 103 m   Mass of astronaut m = 60 kg  Weight = 81 N  Gravitation…

Q: An asteroid is discovered in a nearly circular orbit around the Sun, with an orbital radius that is…

A: Kepler's third law states that the square of the period is directly proportional to the cube of the…

Q: Calculate the gravitational field strength on a planet with a diameter of 12304.8 km and the escape…

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Q: A geosynchronous Earth satellite is one that has an orbital period of precisely 1 day. Such orbits…

A: To solve this problem we use the concept of Kepler's third law.  Let us consider the mass of earth…

Q: While looking through the Mt. Palomar telescope, you discover a large planetary object orbited by a…

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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: Calculate the gravitational field strength on a planet with a diameter of 15663.9 km and the escape…

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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: A satellite placed in a circular orbit at a radius of 1.5 earth radii (z ~ 3,185 km) has an orbital…

A: Given that: Radius of orbit: r=1.5Re=1.5×6370×106 mSatellite must be atleast 15° above horizontal to…

Q: Asteroids are believed to be material that never collected into a planet. An asteroid has a period…

A: Using Kepler's third law of motion                                    .................(1)   Where T…

Q: A satellite of mass 1 x 1020kg and radius 400 km orbits Saturn at a semi-major axis of 200,000 km…

A: The problem is based on the concept of the Roche limit. The Roche limit is the minimum distance from…

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: While an airplane is in flight, the pilot announces that an emergency landing has to occur.  In…

A: Given quantities: mass of the passenger (m) = 82 kg height through which it descends (H) = 391 m…

Q: us 3 R, where R is equal to the radius of the earth’s orbit = 1 AU = 1.5 × 1011 m. (a) What is the…

A: Given:-  The radius of the sun is  R and the whose most distant point has a radius of 3 R,  The…

Q: ) Calculate Jupiter's mass given the acceleration due to gravity at the north pole is 28.328 m/s2…

A: Acceleration due to gravity=28.328m Radius of Jupiter =66850km =66850000m Value of gravitational…

Q: a) What is the difference between the forces due to Uranus on a 1.0 kg mass located at the near side…

A: A) The force because of Uranus on the 1 kg mass on the Titan’s near side can be given as, Here, G,…

Q: a person leaves planet b-25 and constructs a small rocket. the person has a mass of 20 kg, the…

A: Given:- the person has a mass of 20 kg, the rocket has a mass of 480 kg, and the planet has a mass…

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: One of the brightest comets of the 20th century was Comet Hyakutake, which passed close to the sun…

A: Given data: The orbital period of the comet is T=30000 yr. The distance between Sun and Alpha…

Q: Given that the universal gravitational constant is G=6.7×10-11 N m2/kg If the radius of a planet is…

A: Given, G=6.7×10-11 Nm2/kg R=6000km M=5.0×1024 kg m=2500 kg r=1000 km

Q: To remain in a circular orbit at 426 km from the asteroid's center, he should maintain a speed of 80…

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Q: On Earth, froghoppers can jump upward with a takeoff speed of 2.66 m/s. Suppose some of the insects…

A: The diameter in km is 4.767 km.

Q: Asteroids are believed to be material that never collected into a planet. An asteroid has a period…

A: Time period of asteroid, t = 3.6 yearsTime period of earth, T = 1 yearDistance of earth from sun, R…

Q: What multiple of the energy needed to escape from Earth gives the energy needed to escape from (a)…

A: Given  Mass of earth = Me = 5.98*10²⁴ kg Mass of moon = Mm = 7.36*10²² kg Mass of Jupiter = Mj =…

Q: mordial solar system 4.5 billion years ago coalesced into Neptune over hundreds of millions of…

A: Answer :-  The expression of conservation of angular momentum is, Here  and are the initial moment…

Q: A projectile is fired straight upward from planet's surface with a speed that is 1/7 the planet's…

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Q: The orbit of a 1.9 x 1040 kg comet around the Sun is elliptical, with an aphelion distance of 25.0…

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Q: A large planet with a mass of 3.4e25 kg has a moon with a mass of 1.5e23 kg. If the moon orbits the…

A: Given data:  Mass of planet (m1 ) = 3.4×1025 kg Mass of moon (m2 ) = 1.5×1023 kg Radius (R) =…

Q: Determine the minimum velocity(m/s)  necessary to orbit freely about a planet or moon at an altitude…

A: The minimum velocity required to orbit freely is,

Q: A satellite is in a circular orbit at an altitude of 1.5 earth radii, with an inclination of 90°.…

A: (given)                   Radius (RE) of earth = 6371 km…