@maxdancona,
maxdancona wrote:
Quote:If the moon was double its current mass, it would accelerate faster at the same distance around the Earth, would it not?
No. That is not correct. The equation is A = GM/(r^2) (in this case the M is the mass of the Earth). Doubling the mass of the moon would not change its acceleration. The math is correct.
At this points, words are going to confuse you (which is one reason that in Physics we use math). You are going to start talking about "total mass".
You're not just using words to lie, though. You're also denying the purpose of having both masses in the equation.
If the mass of the second body didn't matter, why would it be included in the equation?
Quote:However the math still works. This is the brilliance of Newton's Third law. The Force put on the Moon by the earth is equal to the Force put on the Earth by the Moon. The math is quite simple and elegant.
Code:
F = GMm/(r^2)
F = ma
Therefore ma = GMm/(r^2)
Therefore a = GM/(r^2)
This works for any 'M' or 'm' even if 'm' is greater than 'M'.
The math explains what actually happens in nature. The fact that this conflicts with your intuition is a problem with your intuition. There is no contradiction in the mathematics or in the science.
First of all, both masses have to accelerate toward each other as a result of gravitation between them. In practice, one is more stationary, but technically they both respond to the gravitation between them.
Second, if the combined mass of a system is greater, then gravitation is greater. It can be distributed in different ways depending on the mass of the two objects, but if the combined mass is lower, then overall gravitation must be lower and vice versa.
Third, gravitation increases as the distance between the mass decreases, so as an object falls closer to the Earth, gravitation is increasing and it's increasing more for heavier objects than for lighter objects, i.e. because the combined mass is greater, even if only slightly, for the heavier object and the planet.
Stop playing word/math games in order to lie about what's true. You are a wannabe magician who calls his magic 'science' in order to have yet another layer of lies to play with.
I don't know why I keep responding to your posts, because you will always go on and on lying rather than admit that the mass of both objects affects the acceleration rate, otherwise there would be no reason for different planets to have different gravitational forces.