If all planets had the same average density, how would the acceleration due to gravity at the surface of a planet depend on its radius?

Q: Calculate the value of escape velocity at the surface of the earth. Given g=9.8m/s² and radius of…

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Q: A spherical planet has an outer radius R; its density p varies as a function of distance r given by…

A: Given data: The density function is, ρr=3-2r2R2.

Q: A planet of radius 1500 km exerts a gravitional force of 120 N on an object of mass 100 kg that is…

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Q: please help!

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Q: - The density of newly discovered planet is twice that of Earth. The acceleration due to gravity at…

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Q: If the radius of earth were to shrink by one percent (its mass remains the same), then the…

A: The acceleration due to gravity on Earth's surface is given by g=GMR2

Q: Given the acceleration of gravity at a surface of Planet K is ⅛ of what it is on Earth and that K…

A: Acceleration due to gravity at planet K = one - eight of the acceleration due to gravity on earth…

Q: The free-fall acceleration on the surface of the Moon is about one sixth that on the surface of the…

A: Given that:- Ratio of radius of moon to earth = 0.25

Q: Calculate the escape velocity from the surface of a world with mass 2.80 x 1024 kg and radius 6.50 x…

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Q: The Explorer VIII satellite, placed into orbit November 3, 1960, to investigate the ionosphere, had…

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Q: escape velocity

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Q: A certain spherical planet is made up of two types of material: in the inner core (from the center…

A: Given: Density of inner core is ρ1 Density of outer core (ρ2)is ρ12 Radius of the inner core is 2R…

Q: The escape velocity from the surface of planet A is 5700 m/s. Planet B has the same mass but the…

A: Given that: vA=5700 m/s MA=MB RB=(1/3)RA

Q: The acceleration due to gravity on the surface of a planet is seven times as large as it is on the…

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Q: The mean diameter of the planet Uranus is 5.11 ✕ 107 m, and the acceleration due to gravity at its…

A: Mean diameter of planet Uranus = 5.11 × 107 m  Acceleration due to gravity at surface = 8.87 m/s2

Q: Suppose the surface (radius = r) of a cylindrical space station is rotating at 22.4 m/s to provide…

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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 escape speed from a planet X is 165 m/s. Calculate the density of the planet if the diameter of…

A: The expression for the planet’s escape velocity is,

Q: The radius of Earth is about 6400 km. How far upward from the surface would a body feel a value of g…

A: Acceleration due to gravity at h height g' = GM/(R+h)2  where G = universal gravitational constant…

Q: What is the acceleration  of gravity 9800km above the surface of Earth?take the radius of Earth as…

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Q: The free-fall acceleration on the surface of the moon is about one-sixth that on the surface of the…

A: Answer Given that gmoon=gearth/6 GMmoon/(Rmoon)2 = GMearth/6×RE2 where M is the mass and R is the…

Q: Jupiter has a mass approximately 300 times greater than Earth's and a radius about 11 times greater.…

A: The gravitational acceleration at the surface of Jupiter, gJupiter=Fm=GMJupiterRJupiter2…

Q: Given the acceleration of gravity at a surface of Planet Q is 1/8 of what it is on Earth and that Q…

A: The acceleration due to gravity at the surface of a planet is given by g = GMr2, where G = Universal…

Q: What is the mass of 2.0-kg object on the surface of a planet that has twice the mass of Earth and…

A: Mass of the object m=2 kg, let mass and radius of the Earth be M and R and mass and radius of the…

Q: The free-fall acceleration on the surface of Neptune is about one and one half times that on the…

A: The ratio of the gravitational acceleration of Neptune to the Earth's surface is, gNgE=1.5 The…

Q: Two planets, planet A and planet B, have the same surface gravity. However, planet B has twice the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The gravitational acceleration at the surface of Marsis 3.73 m/s2, and the mass of Mars is 6.39(10…

A: Using the equation for acceleration due to gravity on mars, gm=GMmrm2rm=GMmgm

Q: A space station has a ring with a radius of 350 meters, which rotates with a velocity which gives a…

A: Here, r1=350 ma1=1g=9.8 m/s2a2=0.375g = 0.375*9.8 m/s2r2=?

Q: If you are given the density and radius of planet X, how would you calculate the acceleration of…

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Q: If the gravitational field strength at the surface of Venus is g, at what distance from the surface…

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Q: - The density of newly discovered planet is twice that of Earth. The acceleration due to gravity at…

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Q: Two 3.8kg physical science textbooks on a bookshelf are 0.38m apart. What is the magnitude of the…

A: The gravitational force between two masses is

Q: A uniform distribution of dust in the solar system adds to the gravitational attraction of the Sun…

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Q: Assume a new planet discovered has a mass (1/81) that of Earth and a radius (1/4) that of Earth.…

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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: The free-fall acceleration on the surface of Neptune is about one and one-half times that on the…

A: It's a concept of Gravitational acceleration.

Q: The mean diameter of the planet Saturn is 1.2 × 108 m , and its mean mass density is 0.69 g/cm3 .…

A: The acceleration due to gravity of the planet is, g=GMr2Planet' mass is given as…

Q: The escape speed from a distant planet is 39 km/s. If the acceleration of gravity on the planet…

A: Escape speed is,

Q: For a planet of uniform density, how would the magnitude of the gravitational field halfway to the…

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Q: The mean diameter of the planet Mercury is 4.88 × 106 m , and the acceleration due to gravity at its…

A: diameter, d = 4.88 x 106 m  acceleration due to gravity, g = 3.78 m/s2

Q: On the Earths surface, the gravitational field strength is about 9.8 m/s2 . Now considering a…

A: Formula of gravitational force= GM/R2 where G is gravitational Constant M is mass of the planet R is…

Q: A moon in another galaxy from our own has the same gravity as Earth. a. Determine the radius of the…

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Q: Given the acceleration of gravity at a surface of Planet Q is ⅛   of what it is on Earth and that Q…

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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.