Qualitative question about inertia and gravity

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SUMMARY

The discussion clarifies that objects in free fall, regardless of their mass, accelerate at the same rate due to the constant force of gravity acting on them. This phenomenon is explained by Newton's second law of motion, which states that acceleration is directly proportional to the net force acting on an object and inversely proportional to its mass. The force of gravity, calculated as the product of mass and gravitational acceleration (F = m*g), remains constant for all masses, leading to equal acceleration in free fall. The key takeaway is that while greater mass implies greater inertia, it does not affect the rate of acceleration under gravitational force.

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  • Understanding of Newton's laws of motion
  • Basic knowledge of gravitational force and its calculation
  • Familiarity with concepts of mass and inertia
  • Ability to apply algebraic equations in physics
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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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