Why Do Objects with Different Mass Fall at the Same Time?

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Objects of different masses fall at the same rate due to the principle of gravitational acceleration, which is constant at approximately 9.81 m/s² near the Earth's surface. According to Newton's laws, the force of gravity acting on an object is proportional to its mass, but this also means that the acceleration due to gravity remains the same for all objects regardless of mass. While heavier objects may experience a minuscule gravitational pull towards the Earth, this effect is negligible in practical terms. The discussion emphasizes understanding both the mathematical and intuitive explanations for why mass does not affect falling speed. Ultimately, all objects, when dropped in a vacuum, will hit the ground simultaneously.
Ahmadso
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Hi

How are you friends ?

I want to know why when I let fall tow things that have a different mass, why they reach the ground in the same time?

Thank you for your time.
 
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Newtons F = m*a and the approximation F = m*g, so a = g

Although I guess if you really want to be anal, the heavier object hits very slightly first because the Earth is accelerating up to the heavier object. So two Earth sized masses would fall toward each other faster than a ping pong ball and the earth.
 
The equation of gravitational law shows it
F = GMm/r^2 where F is force applied due to gravitation by earth, G is a constant, M is the mass of the earth, m is the mass of the thrown object and r is the radius of the Earth and from the law distancebetween the centre of two objects.

F = ma
therefore a = F/m = which here is g.
thus g is equal for all objects. may it be anything. now what mcah5 explained is the gravitational force applied by object on earth. the heavy celestial bodies apply gavitational force on Earth due to which the gravitational force on Earth due to object becomes negligible.
 
Ahmadso said:
Hi
How are you friends ?
I want to know why when I let fall tow things that have a different mass, why they reach the ground in the same time?
Thank you for your time.
OK, now that the 'how' has been answered with equations, perhaps we can answer the 'why'? i.e a more intuitive answer.

I respond to your question with another question:
Tell me why you think they wouldn't they hit the ground at the same time.
 
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