The asteroid Ida has a small satellite orbiting it called Dactyl. Dactyl orbits Ida at a distance of about 90 km, with a period of about 8 hours. Calculate the mass of Ida.

Q: The planet Mars is orbited by two small moons, Phobos and Deimos. Both moons have circular orbits.…

A: We have two moons with radius of orbits a1=9377 km and a2=23460 km with time period of orbit…

Q: 2.0 Moons of Jupiter 1.0 Moons of Saturm 05 04 06 0.8 1.0 12 1.4 1.6 The diagram shows two graphs of…

A: (a) By Kepler's third law, T2 is directly proportional to R3. Hence, the graph is straight line.

Q: as a planet Venus moves in its orbit around the sun Venus and the sun are separated by an average…

A: Given The average distance between sun and venus is R = 1.08 x 1011 m. The time taken by venus to…

Q: 2GM The asteroid Vesta has a mass of 2.59 x 1020 kg and an average radius of about 263 km (2.63 x 10…

A: Given data The mass of the asteroid is M = 2.59 x 1020 kg. The radius of the asteroid is r = 263…

Q: A very early, simple satellite consisted of an inflated spherical aluminum balloon 37 m in diameter…

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

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Q: Why does the Moon have a greater influence on Earth's tides than the Sun does?    A.  because the…

A: Tides are the rise and fall of sea levels caused by the combined effects of the gravitational forces…

Q: The mass of Mars is 6.42 × 10^23 kg. Its moon Phobos is 9.378 x 10^6 meters away from Mars, with a…

A: Given:   mass of mars (Mm) = 6.42*1023kg    mass of phobos (Mp) = 1.06*1016kg     Distance between…

Q: Q2.3 The escape velocity from a planet is 2GM v= (1) The radius of Mars is 3.39 x 106 m and its mass…

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Q: What is the gravitational force of attraction between Enceladus, a moon of Saturn, and the Cassini…

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Q: Miranda, a satellite of Uranus, is shown in part a of the figure below. It can be modeled as a…

A: Given:Radius,r=242 kmMass,m=6.68×1019 kgDistance,Y=5000 mSpeed,v=6.40 m/sA) Find the free-fall…

Q: Use the information below and the relationship above to calculate the T2/R3 ratio for the planets…

A: Using Kepler’s third law,

Q: How many degrees of freedom does Venus orbiting the sun have assuming that its eccentricity is close…

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Q: Our understanding of the elliptical motion of planets about the Sun spanned several years and…

A: (a)  Tycho Brahe gathered the

Q: Venus-orbiting geosynchronous satellite. Venus rotates every 117 days. How far above Venus's surface…

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Q: P. Ganymede is one of the moon of Jupiter. Ganymede's period of revolution around Jupiter is 7.16…

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Q: The moon has a period of 27.3 days and a mean distance of 3.9 x 10 ^5 km from the center of the…

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Q: The 2004 landings of the Mars rovers Spirit and Opportunity involved many stages, resulting in each…

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Q: The mass of Mars is 6.42 × 10^23 kg. Its moon Phobos is 9.378 x 10^6 meters away from Mars, with a…

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Q: In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a…

A: Given Mass of asteroid = 5×1015 kg Radius R = 9.8 km = 9.8×103 m

Q: The planet Mars has two moons, Phobos and Deimos. What is the direction of the force that keeps…

A: it is  a question  of what kind force and direction  secure orbital paths of phobos .

Q: Since the Law of Gravity is    if the acceleration of gravity near Earth's surface is 9.8 m/s2,…

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Q: Question 9 A newly discovered planet, Eagal, has two known moons, Dorainn and Bron. The table below…

A: Given data: Mass of each moon: m=1.427×1015kg Radius of Dorainn, rD=6.142 km=6.142×103m Orbital…

Q: Mars rotates on its axis once every 1.02 days (almost the same as Earth does). (a) Find the…

A: Given: Time (T) = 1.02 days. = 88128 sec. Mass of mars (m) = 6.42×1023 kg.

Q: The table on the figure gives the mean distance, period, and mass for the four largest moons of…

A: According to Kepler’s law, rearranging the equation will gives the mass,

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: 8. A comet has a mass of 20000 kg semi major axis a= 1.5 e11 m with an eccentricity e=0.6. The mass…

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Q: Mars has a mass of 6.417*1023 kg, a radius of 3390 km, and a rotation period of 24.62 hours. (a)…

A: Given Data: The mass of Mars is, M=6.417×1023 kg The radius of Mars is, R=3390 km The rotation…

Q: has a mass of 1820 kg and is orbiting at an elevation of 65.0 km from the surface, what is the…

A: Given: The mass of the moon is 7.348x1022 kg. The mass of the LRO is 1820 kg. The distance of the…

Q: The planet Pluto has an equatorial diameter of 1,188.3 km and its mass is 1.30900 * 1022 kilograms.…

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Q: The mass of Mars is 6.42 × 1023 kg. Its moon Phobos is 9378 kilometers away from Mars and has a mass…

A: Given that - Mass of the mars Mass of the Phobos Mass of the Deimos Distance between the mars and…

Q: Planet Z is 10,000 km in diameter. The free-fall acceleration on Planet Z is 8.0 m/s2.a. What is the…

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Q: Mars rotates on its axis once every 1.02 days (almost the same as Earth does). (a) Find the distance…

A: Time , T = 1.02 days  1 day = 86400 sec  1.02 days = 88128 sec  Mass of mars , m = 6.42 x 1023 kg To…

Q: 4. Along its equator, Jupiter rotates once about its axis every 9 hours and 56 minutes. Its…

A: Centripetal acceleration  Ac = r×w^2  w= angular speed = 2π/T And Gravitational force F = G M1…

Q: Suppose a small planet is discovered that is 14 times as far from the sun as the Earth's distance is…

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Q: The first asteroid to be discovered is Ceres. It is the largest and most massive asteroid is our…

A: Given:  mass, m = 3 x 1021 kg velocity, v = 17900 m/s

Q: Many spacecraft have visited Mars over the years. Mars is smaller than the earth and has…

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Q: The eccentricity e of the Moon's orbit is 0.0549 and the mean orbital radius r, = (ab)l2 is 384,100…

A: a) Given:- e= √(1-(b/a)2) = 0.0549 => b =a√(1-0.0549^2).     (I) rL= √(ab) = 384100 km    =>…

Q: Tracking some asteroids in our solar system by investigating the gravitational attraction between…

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Q: a. If an 8,700 kg satellite is orbiting a planet 8430 km away from the midpoint of the planet has a…

A: Explanation Period of a satellite orbiting a planet is, T=2πr3GM .....................(1)…

Q: Many spacecraft have visited Mars over the years. Mars is smaller than the earth and has…

A: The orbital period is the time taken to complete one full revolution around a gravitating body. It…

Q: Uranus has 27 known moons. One of these moons is Miranda, which orbits at a radius of 1.29x108 m.…

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Q: In 1993 the spacecraft Galileo sent home an image (the figure) of asteroid 243 Ida and a tiny…

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Q: Object 1 Object 2 4. What is the weight of the 50 kg student on the surface of the planet whose mass…

A: Gravitational force between two masses F = G m1 m2 /r2

Q: about Uranus. (c) Calculate the acceleration due to Miranda's gravity at the surface of Miranda.…

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