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: What is the gravitational force between two masses (m1 = 4 Kilograms and m2 -= 8 Kilograms) that are…

A: Answer format was not clear, so I expressed the answer in the way I understood from what you have…

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: If Martians want to launch a geostationary satellite (more accurately, "Aerostationary") to study…

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Q: One 'day' on Planet X equals 16 Earth hours.A geostationary communications satellite orbits Planet X…

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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 3.5 kg mass weighs 29.05 N on the surface of a planet similar to Earth. The radius of this planet…

A: The formula for the acceleration due to gravity on the planet is given by, Here, G, MP and r…

Q: Determine the angle 0 at which a particle in Jupiter's circular orbit experiences an attraction from…

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Q: (a) In order to keep a small satellite from drifting into a nearby asteroid, it is placed in orbit…

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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: Io orbits Jupiter at an average distance of 4.22 105 km with an orbital period of 0.00485 yr. 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: Let asteroid A have a mass of 7.86 x 1011 kg and asteroid B have a mass of 1.12 x 10° kg. If there…

A: The expression for the distance between the asteroids is,

Q: Suppose an asteroid has a tiny moon orbiting around it (which does occur). If the moon is 1.1 km…

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Q: The asteroid 243 Ida has its own small moon, Dactyl. Another such system, asteroid 624 Hektor, has a…

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Q: Suppose the magnitude of the gravitational force between two spherical objects is 2000 N when they…

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Q: A satellite is in a circular orbit 380 km above the Earth's surface. Find the orbital period and the…

A: For the satellite, gravitational force acting on the satellite due to earth acts as centripetal…

Q: Planet X orbits the star Omega with a "year" that is 492 days long.  Planet Y circles Omega at four…

A: Given: Planet X orbits the star Omega with a "year" that is 492 days long.  Planet Y circles Omega…

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: The orbit of a 1.5 x 1010 kg comet around the Sun is elliptical, with an aphelion distance of 33.0…

A: The problem based on the concept of a two-body central force problem. According to Kepler's first…

Q: A satellite orbits the moon at an altitude of 30 miles above the moon's surface. What is the width…

A: Given: Satellite orbits the moon at an altitude of 30 miles above the moon's surface and radius of…

Q: A satellite is in a circular orbit very close to the surface of a spherical planet. The period of…

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Q: The distance between the Earth and Mars when the two planets are at opposition varies greatly…

A: In astronomy opposition is defined as a configuration when two astronomicl objects are located at…

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

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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: Astronomical observations of our milky way galaxy indicate that it has a mass of about 8x1011 solar…

A: 1 solar mass = 1.989e+30 kg 1 Light year = 9.461e+15 m Given, mass of milky way is M = 8x1011 solar…

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: 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: A spacecraft departing from a 200 km LEO has a total AV of 10 km/s. Determine the following: a) The…

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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: Sally and Sam are in a spaceship that comes to within 13,000 km of the asteroid Ceres. Determine the…

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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: Problem 5: Suppose you are told that a satellite orbiting the Earth has a orbital period of 0.85…

A: The Kepler’s third law of planetary motion is

Q: The Apollo 11 spacecraft was placed in an elliptical orbit around the moon. The point in a lunar…

A: The perilune altitude of orbit above the moon surface is, d=110 km. The apolune altitude of orbit…

Q: What is the escape speed on a spherical asteroid whose radius is 274 km and whose gravitational…

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Q: An asteroid closely passes the Earth at a range of 17200mi and a relative speed of 7.8km/s.The…

A: Given that: urelative=7.8 km/s=7800 m/sDiameter of asteroid, d=30mRadius of the asteroid,…

Q: 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…

A: Given that, the mass of Neptune is m=1×1026kg the radius of the path is R=4.5×109km And the time…