Difference between Gravitational Force and Gravity?

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SUMMARY

The discussion clarifies the distinction between gravitational force and gravity, emphasizing that gravitational force is a specific model within Newtonian physics, while gravity is a broader concept that can be interpreted through various frameworks, including general relativity. In Newtonian mechanics, gravitational force is responsible for the acceleration of objects, whereas general relativity describes gravity as the curvature of spacetime without invoking a force. Both models yield equivalent predictions under certain conditions, making the choice of model dependent on computational simplicity and accuracy required for specific tasks.

PREREQUISITES
  • Understanding of Newtonian mechanics and gravitational force
  • Familiarity with general relativity and Einstein Field Equations
  • Basic knowledge of Euclidean and non-Euclidean geometries
  • Concept of geodesics in curved spacetime
NEXT STEPS
  • Study the principles of Newtonian mechanics and gravitational force
  • Explore the fundamentals of general relativity and its implications on gravity
  • Learn about the Einstein Field Equations and their applications
  • Investigate the differences between Euclidean and non-Euclidean geometries
USEFUL FOR

Students of physics, educators in the field of science, and anyone interested in understanding the fundamental concepts of gravity and gravitational force.

K00lDudE1
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What is the difference between the gravitational force and gravity?

Because I was under the impression that gravity is not a force, but one of the 4 fundamental forces of nature is the gravitational force, so I was wondering what the difference between the two is?
 
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K00lDudE1 said:
What is the difference between the gravitational force and gravity?

Because I was under the impression that gravity is not a force, but one of the 4 fundamental forces of nature is the gravitational force, so I was wondering what the difference between the two is?
If you are trying to ask whether gravity really is or is not a force then there is no answer. We can model the effects of gravity using the Newtonian model. In this model, there is a gravitational force that causes objects to accelerate against a background Euclidean coordinate system with 3 dimensions of space and one independent dimension of time.

Or we can model the effects of gravity using the model of general relativity. In this model there is no gravitational force. Objects subject to no non-gravitational influences move in straight line trajectories (geodesics) which appear curved against a background geometry which is not Euclidean and which conforms to the Einstein Field Equations.

To the extent that both models give the same predictions for the same experimental setup, it is pointless to ask which model is "really" correct. Pick whichever one provides the best computational simplicity for the needed accuracy for the task at hand and leave the rest to the philosophers.
 
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K00lDudE1 said:
Because I was under the impression that gravity is not a force, but one of the 4 fundamental forces of nature is the gravitational force, so I was wondering what the difference between the two is?
It's a different meaning of "force":
- The "(Newtonian) force of gravity" refers to a very specific model.
- A "Fundamental force" refers to an interaction, in a more general sense.
 

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