Qualitative question about inertia and gravity

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In free fall, objects of different masses accelerate at the same rate due to gravity, despite having different inertias. This occurs because the force of gravity acting on a more massive object is greater, but its greater inertia also means it resists acceleration more. According to Newton's second law, acceleration is proportional to force and inversely proportional to mass, leading to equal acceleration for all objects in free fall. The gravitational force is constant for all masses, which explains why they fall at the same rate. This fundamental principle highlights the relationship between mass, inertia, and gravitational force.
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Homework Statement


Why does an object with a bigger mass(more inertia) accelerate the same as an object with a lesser mass(less inertia) when in free fall?

Homework Equations

The Attempt at a Solution

 
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Well, what do you think?
 
brainpushups said:
Well, what do you think?
I think I'm confused because an object with more inertia should resist it's change in state of motion more
 
Great. So what must that say about the force of gravity?
 
brainpushups said:
Great. So what must that say about the force of gravity?
the force of gravity is constant and causes a downward or negative acceleration.
 
LeHotDoge said:
the force of gravity is constant
The force is constant for a given mass?, or are you saying it's the same for all masses?
 
LeHotDoge said:
the force of gravity is constant and causes a downward or negative acceleration.
Ermmm...a no would do. Remember Newton's law of universal gravitation explicitly indicates that distance between is crucial to the magnitude of the gravitational force two masses experience.

Analyze... more mass, greater inertia(or vice versa). We expect the more massive body to resist acceleration compared to the other when acted on by the same force. This is the case we havs two different bodies of different inertia, but their accelerations are equal. This directly means a difference in...
 
haruspex said:
The force is constant for a given mass?, or are you saying it's the same for all masses?
well the force of gravity is m*g , so a greater mass would have a greater force of gravity. Acceleration of an object is directly proportional to force(in this case force of gravity) and inversely proportional to mass, now I understand.
 
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