(adsbygoogle = window.adsbygoogle || []).push({}); Why objects with different mass fall with same velocity??

It is long said and proven that objects with different mass free-fall with same velocity.

Suppose the mass of earth is M and mass of an object in free fall is m1. As we know earth's gravitational acceleration constant is g = 9.8m/sec2 so m1 will experience uniform accleration and so uniformly increasing velocity. But here why dont we take acceleration caused by mass m1 (though negligible with respect to earth) in to calculation. According to GR, large mass of earth has caused spacetime to curve in such a way that any free falling object would experience g = 9.8m/sec2. But what about the tiny turbulance in spacetime fabric, caused by free falling mass m1?? I think if we take this negligible acceleration by m1 into calculation then we would get different free falling velocities (Though the difference would again be negligible)for different masses. There is one more reason for this, suppose free falling mass m1 is not tiny but considerably massive with respect to earth, then I think both earth and mass m1 would follow resultant spacetime curvature caused by both masses and in that case m1 , I think ,will not experience g = 9.8 m/sec2 but something more than this value.

In my description above I have neglected air resistance, gravity is the only acting force.

I may be wrong somewhere in my understanding, please correct me.

Please help.

Thanks in anticipation.

Abhishek Jain

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# Why objects with different mass fall with same velocity?

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