The mass of Uranus is 8.68 ✕ 1025 kg, and the mass of Neptune is 1.02 ✕ 1026 kg. The average distance of separation, measured between their centers, is 1.63 ✕ 109 km.   (a) Locate the center of mass (in m) of the Uranus-Neptune system as measured from the center of Uranus.  Answer:____________________ m from Uranus's center   (b) Is the center of mass of the system located within Uranus? (Assume Uranus has a radius of 2.54 ✕ 107 m.) Answer: Yes or No

Q: A 2310 kg2310 kg space station orbits Earth at an altitude of 4.73×105 m.4.73×105 m. Find the…

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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: Find the mass (in kg) of Neptune from the orbital parameters of its moon, Proteus. The radius of…

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Q: Two asteroids collide and stick together. The first asteroid has mass of 15×103kg and is initially…

A: Let the first asteroid is moving horizontally while the second asteroid is moving at an angle of…

Q: The mass of the Sun is 2 × 1030 kg, the mass of Mercury is 3.3 × 10 23 kg, and the center-to-center…

A: Let us consider the center of sun as x=0. We will assume the sun and mercury as perfect spheres with…

Q: Find the total mechanical energy of Uranus. The mass of Uranus is m 8.681 × 1025 kg and the…

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Q: The mass of Jupiter is 1.90 x 102' kg, and the mass of Uranus is 8.68 x 1025 kg. The average…

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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 acceleration of gravity on the surface of the Sun. The mass of the Sun is MSun = 1.99…

A: Acceleration due to gravity is the acceleration of an object falling freely under the attraction of…

Q: e two masses, m1=2 billion kg=2.0∗10^9kg m2=8 billion kg=8.0∗10^9kg r=5.9km Calculate the force…

A: The gravitational force between two mass is,  F=Gm1m2r2

Q: escape velocity

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Q: Jupiter has a mass of 1.9 x 1027 kg—more than twice that of all the other planets in the solar…

A: Mass of jupiter (M) = 1.9×1027 kg Distance between the sun and jupiter (d) = 7.78×1011 m Mass of sun…

Q: planet’s

A: When the height of the object above the ground is more, then its gravitational potential energy will…

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: An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is…

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Q: An astronaut is in equilibrium when he is positioned 140 km from the center of asteroid X and 581 km…

A: Let the mass of asteroid x = mx Let the mass of asteroid y = my Let mass of astronaut = m Distance…

Q: One of your summer lunar space camp activities is to launch a 1170 kg rocket from the surface of the…

A: The expression for the required gravitational potential energy,

Q: mass of Venus is 4.868 ✕ 1024 kg and its orbital radius is an average of 1.082 ✕ 1011 m. Calculate…

A: m=4.868x1024 kgradius=1.082x1011morbit period=0.6150 year                =6.6150x365x24x3600 sec…

Q: law

A: Kepler’s third law of planetary motion gives the relationship between the orbital time period and…

Q: The free-fall acceleration on the surface of Uranus is about equal to that on the surface of the…

A: Weight is the force acting downwards and is equal to mg and gravitational force of attraction is…

Q: The gas-giant planet Rom (mass 5.7⨯1026 kg) goes around the star Galla (mass 2.0⨯1030 kg) in a…

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Q: The mass of Neptune is 1.03 x 1026 kg and its diameter is 4.54 x 107 m . What is yhe magnitude of…

A: We know thatg=Gmr2Whereg=gravitational field strengthG=Gravitational constantm=mass r=radius

Q: The mass of the earth is 81% the mass of the moon. The distance between the centres of the earth and…

A: Taking the origin at the centre of mass, m1r→1+m1r→2m1+m2=0m1r→1+m1r→2=0

Q: In a distant solar system, a planet of mass 5.0 x 1024 kg orbits a sun of mass 3.0 x 1030 kg at a…

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Q: A certain triple-star system consists of two stars, each of mass m = 1.9×1030 kg, revolving in the…

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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: NOTE: As per guidelines, I can solve first three parts of the problem. If you need help with other…

Q: Calculate the acceleration due to gravity on the Moon. The Moon's radius is 1.74×106m1.74×106m and…

A: Formula of acceleration due to gravity is as follows; g=GMR2…

Q: The mass of the Earth is 5.98 x 1024 kg, and the mass of the Moon is 7.36 x 1022 kg. The distance…

A: Given data: The mass of the Earth is ME=5.98×1024 kg. The mass of the Moon is MM=7.36×1022 kg. The…

Q: A 1500 kg meteorite becomes trapped in one of Saturn's rings 6.78 x 106 m above the surface of…

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Q: A satellite takes 1.5 x 104 s to complete one circular orbit around a planet. If the satellite has a…

A: Given, mass of satellite =m=1.5 x103 orbit radius=r=6.2 x106 m Time period for 1 revolution =T=1.5…

Q: A binary star system has two stars, both with a mass of 3.6 x 102 kg separated by 6.2 x 1010 meters.…

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Q: What is the value of g on the surface of Saturn? Explain how such a low value is possible given…

A: The mass of the Saturn is, ms=100mE=1005.97×1024 kg=5.97×1026 kg The acceleration due to gravity on…

Q: What is the escape speed from a planet of mass M = 3.1 x 1023 kg and radius R = 2.6 x 106 m? Write…

A: Given data:  Mass of planet (M) = 3.1×1023 kg Radius (R) = 2.6×106 m Universal Gravitational…

Q: n asteroid, whose mass is 1.9 × 10-4 times the mass of Earth, revolves in a circular orbit around…

A:

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

A: Given: The mass of Miranda: M = 6.68 x 1019 kg. The radius of Miranda: R = 242 km.

Q: A satellite of Mars, called Phobos, has an orbital radius of 9.4 ✕ 106 m and a period of 2.8 ✕ 104…

A: Let r and T denote the given satellite’s radius of orbit and revolution period around Mars,…

Q: Determine the escape velocity of a body from the moon. Take the moon to be a uniform sphere of…

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Q: Satellite X of mass m orbits planet X of mass M at a center-to-center distance r. Satellite Y or…

A: Given:for system Xmass of satellite = mmass of planet = Mdistance between them = rfor system Ymass…

Q: What is the value of g if you weigh 560 N with a mass of in an unknown planet 7500 g?

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Q: The escape speed from the surface of the Earth is 11.2 km/s. Estimate the escape speed for a…

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Q: A meteoroid is moving towards a planet. It has mass m = 0.18×109 kg and speed v1 = 3.8×107 m/s at…

A: Given that:m=0.18×109 kgv1=3.8×107 m/sR1=1.6×107 mR=0.26×107 mM=10×1025 kg

Q: The mass of Jupiter is 1.90 x 1027 kg, and the mass of Uranus is 8.68 x 1025 kg. The average…

A: Given data: Mass of Jupiter (m1) = 1.90 × 1027 kg Position of Jupiter (x1) = 0 km Mass of Uranus…

Q: A rock far outside a solar system similar to ours is initially moving very slowly relative to its…

A: Given that:Initial speed, u= 0 (moving very slowly relative to sun)Mass of sun, MS=3.2×1030 kgMass…

Q: A planet of mass m=9.45x1024 kgm=9.45x1024 kg orbits a star of mass M=8.25x1029 kgM=8.25x1029 kg in…

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Q: What is the escape speed on the surface of Neptune? (the mass of Neptune is 1.02 x 1026 kg and the…

A: Mass of Neptune m = 1.02×1026 Kg Radius of Neptune r = 2.48×107 m Escape speed V = ?  And we know G…

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

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Q: A satellité has a mass of 6264 kg and is in a circular orbit 4.47 x 105 m above the surface of a…

A: GivenMass of satellite (m)=6264  kgHeight above the planet surface surface (h)=4.47×105 mPeriod of…

Q: The escape velocity of a bullet from the surface of planet Y is 1695.0 m/s. Calculate the escape…

A: The escape velocity ve has the formula given below ve=2GMRThe gravitational constant…

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.