One consequence of Newton's law of gravitation is that the gravitational force exerted by a uniform sphere of mass M and radius R on an object outside the sphere (including on its surface) equals the force that would be exerted by a point mass M located at the sphere's center.
Thus, for an object of mass m on the surface, a distance R from the center, the gravitational force exerted by a uniform sphere is:

The radius of a planet is three times that of Earth and its mass is nine...
The acceleration due to gravity on the surface of a planet is nine times as large as it is on the surface of Earth. The mass density of the planet is known to be seven times that of Earth. What is the radius of this planet in terms of Earth's radius? RE Rplanet t
A hypothetical planet has a mass 3 times that of the Earth and a radius twice that of the Earth. Calculate the value for acceleration due to gravity near the surface of this hypothetical planet.
012 10.0 points Planet X has a mass 4.86 times that of the Earth and a radius 2.83 times the radius of the Earth What is the ratio of the acceleration due to gravity on the surface of Planet X to the acceleration due to gravity on the surface of the Earth?
A hypothetical planet has a radius 1.2 times that of Earth, but has the same mass. 1.)What is the acceleration due to gravity near its surface? Express your answer to two significant figures and include the appropriate units.
A newly discovered planet has twice the mass and three times the radius of the earth. What is the free-fall acceleration at its surface, in terms of the free-fall acceleration g at the surface of the earth? a. 1/9 g b. 2/3 g c. 3/4 g d. 4/3 g E. None of these
A hypothetical planet has 3 times the mass of Earth and twice the radius of the Earth. What is the surface gravity on this planet? r = Rplanet g = GMplanet / r2
30. (II) A hypothetical planet has a radius 2.0 times that of Earth, but has the same mass. What is the acceleration due to gravity near its surface? A sq01 no alluq tnsbuta 9nO .iugit 9rl, mi mworla as ord B Πί boit 31S 29qo199rT nono zbruoq 0. Г rliw g oq01 по elluq insbute irtons bris ,soro to bruoq 0.1 div, . I oSI A 9q01
The acceleration of gravity on the surface of planet X is 2.85 times the acceleration of gravity on the surface of Earth and the radius of planet X is 4.5 times the radius of Earth. What is the mass of planet X? Earth Mass = 5.98x10^24 kg Earth Radius = 6.37x10^6 m please show work!
If the earth was shrunk down without changing its mass, what fraction of its current radius would result in an acceleration due to gravity that is three times the current value?
radius of earth is 4 times larger than moon, mass of earth is 80 * Mass of moon. Given acceleration due to gravity at Earth's surface is 10m/s^2, how much iwll a 250 kg object weigh on the surface of the moon?