Difference between F=GMm/r^2 and g=Gm/r^2

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Homework Help Overview

The discussion revolves around the equations related to gravitational force and acceleration, specifically F=GMm/r^2 and a=Gm/r^2, in the context of satellite motion.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to understand the relationship between the two equations and when to use each. Some participants suggest that the equations are equivalent and question the necessity of distinguishing between force and acceleration.

Discussion Status

Participants are exploring the conceptual differences between force and acceleration, with some guidance offered regarding the convenience of using one equation over the other. Multiple interpretations of the relationship between the two equations are being discussed.

Contextual Notes

There is an underlying assumption that the original poster is familiar with Newton's second law and the basic definitions of force and acceleration.

hmvince
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Homework Statement


I have been studying satellite motion and have come across 2 equations:
eq1. F=GMm/r^2
eq2. a=Gm/r^2

The Attempt at a Solution


By using Newton's second law, F=ma, we convert eq1. to eq2. Obviously one gives the Force and the other acceleration but what is the difference and when should I use each one?
 
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welcome to pf!

hi hmvince! welcome to pf! :smile:

(try using the X2 icon just above the Reply box :wink:)

there's no difference … as you say, they're equivalent …

use whichever is most convenient (which however will almost always be the acceleration one)! :smile:
 
Clever, r2
Thanks for the reply:smile:, I'll keep that in mind!
 
Also, what is the difference between force and acceleration?
 
hmvince said:
Also, what is the difference between force and acceleration?

you know that …

force = mass times acceleratiom,

so acceleration = force per mass
 

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