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Luc B said:Hello Dale
What i found is correct. Don't it?
And i come back with my conclusions. Whish are also correct. Following to me.
And may be, i am wrong. May be.
If we have the Earth. And nothing change about its. And there is an object of 100 kg that falls on it. It take more time than a object of 500 kg. I must be specific. Same height, Exactly same Earth. The same conditions. And the objects didn't come from the Earth. Aristote was rigth in - 350...
We have the Earth. And we take something from the Earth. And let its fall. Always from the same height. No matter the mass we take from the Earth to let its fall. It takes always the same time. And in 1600, Galilée was rigth in 1600.
But.
Now people think that all the objects fall on the Earth in the same way. And this is not correct.
Luc B.
In your examples, both the 100 kg object and the 500 kg object fall at the same rate. The difference in the time that they would take to strike the Earth is due to the difference in the rate the Earth falls towards a 100 kg object vs. a 500 kg object. The acceleration of both the 100 kg and 500 kg object will be 9.8 m/sec2. The acceleration of the Earth will be 1.64e-22 m/sec2 with the 100 kg object and 8.2e-22 m/sec2 with the 500 kg object. Assuming a 100 m distance between ground and objects, the Earth will "fall" ~ 7.4e-22 m with the 100kg object and ~ 3.7e-22 m with the 500 kg object.
Both distances are extremely small (both are much smaller than even the radius of a single proton.)
But what happens if you drop them together side by side? Would the 500 kg object hit sooner (even if by only the tiniest amount)?, as Aristotle would have claimed? . No. both objects would again accelerate towards the Earth at 9.8m/sec2. The Earth however cannot accelerate towards one object at a different rate than it does the other. Instead, it accelerates toward both objects at an rate determined by the sum of the masses of the two objects.
As an aside, the fact that dropped alone, a 100 kg object would hit a in infinitesimally longer time than a 500 kg object would is not a validation of Aristotle, as he believed that the 500 kg object would have taken a significantly shorter time to complete the fall.