Does Gravitational Acceleration Change with Distance or Object Size?

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SUMMARY

The discussion confirms that gravitational acceleration (g) does not depend on the mass or size of an object but is influenced by the distance from the mass's center. The equation governing this relationship is derived from Newton's law of universal gravitation, specifically G*m*m/r². While the value of g decreases with altitude, this change is negligible for small distances relative to the Earth's surface. Thus, all objects, regardless of mass or size, experience the same acceleration due to gravity in free fall, assuming negligible air resistance.

PREREQUISITES
  • Understanding of Newton's law of universal gravitation
  • Familiarity with the equation G*m*m/r²
  • Basic knowledge of kinematics, particularly the formula for acceleration
  • Concept of free fall and its implications on gravitational acceleration
NEXT STEPS
  • Study Newton's law of universal gravitation in detail
  • Explore the implications of altitude on gravitational acceleration
  • Learn about the effects of air resistance on free fall
  • Investigate the relationship between mass, force, and acceleration using F=ma
USEFUL FOR

Students of physics, educators teaching gravitational concepts, and anyone interested in understanding the principles of gravitational acceleration and its dependence on distance rather than mass or size.

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Does gravitational acceleration g vary with distance, mass, size of the object?
 
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What do you think? What do you mean by "distance of the object"?
 
I think that acceleration has nothing to do wit mass but i has to do with distance and time because g is found by dividing 2d/t squared. BUt size doesn't matter and mass only matter when talking about force right?
 
aparra2 said:
I think that acceleration has nothing to do wit mass but i has to do with distance and time because g is found by dividing 2d/t squared. BUt size doesn't matter and mass only matter when talking about force right?

Are you sure that mass has nothing to do with acceleration?? Double check your work.
 
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ok maybe i was wrong mass does have to do with the acceleration bc acelleration is the force divided by the mass but.But does the size of the size of the object dosent matter. My reasoning tell me that, let's say u have a cube of 10mx20x30 meters of aluminum and also a ball of steel the size of a ping pong ball they both have the same acceleration of gravity when they are both subjected to free fall test
 
For an object accelerating towards a mass, no mass doesn't matter (i think i read your question wrong sorry). Any mass, no matter how big or small will always accelerate at the same speed.

The acceleration of that object depends on the mass it is accelerating to and how far it is from the mass' center. There is an equation to figure out how fast an object accelerates near a mass. See if you can figure it out. Hint, it is related to G*m*m/r^2.
 
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aparra2 said:
I think that acceleration has nothing to do wit mass but i has to do with distance and time because g is found by dividing 2d/t squared. BUt size doesn't matter and mass only matter when talking about force right?

You are correct that the acceleration of an object does not depend on mass or size (for the latter, neglecting air resistance).

The actual value of g does decrease as we move further up away from the Earth's surface. However, this decrease is negligible if the distance moved up is small in comparison with the Earth's surface.
 

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