Assuming that the Earth's atmosphere is a perfect sphere, then the atmosphere's center of mass will be at the point equidistant between Earth's poles (i.e. the center of the Earth!).
The distance from the center of mass to Earth, times the mass of the Earth, must be equal to the distance of the center of mass to the Moon, times the mass of the Moon. (For more than 2 objects, the calculation is somewhat more complicated - reading about "center of mass" can give you an idea.)The distance from the center of mass to Earth, times the mass of the Earth, must be equal to the distance of the center of mass to the Moon, times the mass of the Moon. (For more than 2 objects, the calculation is somewhat more complicated - reading about "center of mass" can give you an idea.)The distance from the center of mass to Earth, times the mass of the Earth, must be equal to the distance of the center of mass to the Moon, times the mass of the Moon. (For more than 2 objects, the calculation is somewhat more complicated - reading about "center of mass" can give you an idea.)The distance from the center of mass to Earth, times the mass of the Earth, must be equal to the distance of the center of mass to the Moon, times the mass of the Moon. (For more than 2 objects, the calculation is somewhat more complicated - reading about "center of mass" can give you an idea.)
earth core
-- Your weight depends on the mass of the other mass to which you are gravitationallyattracted, and also on your distance from its center.-- The mass of the moon is much less than the mass of the Earth.-- The moon's surface is much closer to its center than the Earth's surface is to its center.
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The geometric center and the center of mass of the Earth are essentially the same point.
the center of the earth
Assuming that the Earth's atmosphere is a perfect sphere, then the atmosphere's center of mass will be at the point equidistant between Earth's poles (i.e. the center of the Earth!).
The distance from the center of mass to Earth, times the mass of the Earth, must be equal to the distance of the center of mass to the Moon, times the mass of the Moon. (For more than 2 objects, the calculation is somewhat more complicated - reading about "center of mass" can give you an idea.)The distance from the center of mass to Earth, times the mass of the Earth, must be equal to the distance of the center of mass to the Moon, times the mass of the Moon. (For more than 2 objects, the calculation is somewhat more complicated - reading about "center of mass" can give you an idea.)The distance from the center of mass to Earth, times the mass of the Earth, must be equal to the distance of the center of mass to the Moon, times the mass of the Moon. (For more than 2 objects, the calculation is somewhat more complicated - reading about "center of mass" can give you an idea.)The distance from the center of mass to Earth, times the mass of the Earth, must be equal to the distance of the center of mass to the Moon, times the mass of the Moon. (For more than 2 objects, the calculation is somewhat more complicated - reading about "center of mass" can give you an idea.)
the center of the earth
earth core
Assuming that the atmosphere is distributed evenly all over the Earth, its center of mass is of course at the Earth's center. If for any reason there is more atmosphere on one side than on the other, the center of mass would be slightly away from Earth's center.
The weight of an object is its mass times the acceleration of gravity. The acceleration of gravity at the center of the Earth is zero. A 1 kg mass at the center of the Earth still has a mass of 1 kg, but the force of attraction between the 1kg mass and all the other mass around it will add up to zero.
The Earth's motion around a center of mass is due to the presence of the Moon. Technically, the Moon doesn't orbit the Earth, they both orbit the center of mass they share, which is about 4661 kilometers from the center of the Earth. In astronomy, the center of mass is also commonly referred to as the barycenter.
-- Your weight depends on the mass of the other mass to which you are gravitationallyattracted, and also on your distance from its center.-- The mass of the moon is much less than the mass of the Earth.-- The moon's surface is much closer to its center than the Earth's surface is to its center.
-- If your mass is 'm', then your mass is 'm', regardless of whether you're on the earth,2 earth radii out in space, or on the moon. Mass doesn't change.-- On the surface, your distance from the center of the earth is 1 earth radius. Weight isinversely proportional to the square of the distance from the center of the earth, so at adistance of 3 earth radii from the center, your weight is 1/32 = 1/9th of your weight on thesurface. If your mass is 'm' then your weight on the surface is mg = 9.8m newtons, and at3 earth radii from the center it's 1.089m newtons (rounded).
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