?Is gravity greater on Earth or on the planet Uran
As you can see, Voranus is an ice giant, approximately 63 times larger in size, and 14.5 times more massive than Earth. It seems like Jackson's Uranus is bigger than us, right?
Mon, the question needs to be modified. What is the meaning of earth? Is it at an altitude of 150 km, on the surface, or below the surface of the earth, that is, below sea level? We must say how much gravity there is at a surface planet. We will rebuild the question as follows:
Is gravity greater on the surface of Earth or on the surface of the planet Uranus? It may seem that Earth's gravity is much smaller than that of Uranus due to it being an ice giant, but that is not the case. Gravity on Earth is greater than on Uranus.
Gravity on the surface of Earth is about 9.81 m/s², while gravity on the surface of Uranus is about 8.69 m/s². How is that?
The answer is simply found in the gravity equation. In order to calculate gravity on a planet's surface, we must take into account both its mass and its radius. The gravity equation is in terms of these two values, which is equal to the mass divided by the square of the radius, multiplied by a universal constant, which is the universal gravitational constant, which, as we said, is a constant that does not change and its value is
6.67430 times ten to the power of negative 11
If we compare the mass of Earth and the mass of Uranus, we find that the mass of Uranus is 14.5 times greater than the mass of Earth. But when we divide each mass by the square of the radius of the planet, we will divide the mass of Uranus by a value 16 times greater because the diameter of Uranus is 4 times larger than the diameter of the Earth. Therefore, we will divide the mass of Uranus by the square of four times the radius of the Earth, that is, by 16 times the radius of the Earth. . Since the gravitational constant does not change, the gravity on the surface of Uranus will be equal to
14.5 divided by 16 by the gravity on the Earth's surface, which is about 0.9 of the Earth's gravity, so we find the gravity on the surface of Uranus is approximately 8.75 meters/second².
We conclude from this process that gravity at the surface is not only related to mass, and that a planet that has more mass than another planet does not necessarily have greater gravity at the surface. Which means that we must understand mathematical expressions well in order to understand how these laws affect physical variables for a deeper understanding of science.
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