Why is the weight of an object on the moon 1/6th it's weight on the Earth
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The question is really interesting in a way that the prior answers have neglected.
Gravitational acceleration at the surface of an object is A=G*M/r^2. G is a constant, M is the mass of the object, and r is the radius of the object.
The mass of a spherical object is M=d*4/3*pi*r^3. If you plug this into the surface acceleration expression, you'll find that surface acceleration scales linearly with the radius of the object.
So the Moon is 3.67x smaller than the Earth but has 6x less gravity. That's because it's 1.65x less dense than Earth. How is that?
The Earth has an approximately Moon-sized metal ball in the center, which is much denser than rock. For the moon to be so much less dense, it must be made of rock all the way through.
That means the moon came from a different source than Earth came from. It came from the outer part of the Earth, after the Earth had grown into a ball and the liquid metal had fallen into the center. Metaphorically it's a bit like Eve being made from a rib pulled from Adam's side.
Hope this helps u Please make me as a brainliest
Gravitational acceleration at the surface of an object is A=G*M/r^2. G is a constant, M is the mass of the object, and r is the radius of the object.
The mass of a spherical object is M=d*4/3*pi*r^3. If you plug this into the surface acceleration expression, you'll find that surface acceleration scales linearly with the radius of the object.
So the Moon is 3.67x smaller than the Earth but has 6x less gravity. That's because it's 1.65x less dense than Earth. How is that?
The Earth has an approximately Moon-sized metal ball in the center, which is much denser than rock. For the moon to be so much less dense, it must be made of rock all the way through.
That means the moon came from a different source than Earth came from. It came from the outer part of the Earth, after the Earth had grown into a ball and the liquid metal had fallen into the center. Metaphorically it's a bit like Eve being made from a rib pulled from Adam's side.
Hope this helps u Please make me as a brainliest
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