What is the relationship between force and distance in an inverse square law?

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SUMMARY

The discussion clarifies the relationship between force and distance in the context of the inverse square law, specifically referencing Newton's law of gravitation, expressed as F=Gm1m2/r². The consensus is that option (b) is correct, indicating that the force decreases with distance. Options (c) and (e) are deemed incorrect in a general context, as they pertain to specific cases involving mass and universal constants, respectively. The conversation emphasizes the importance of understanding the general principles of inverse square laws beyond specific applications.

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berge616
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I am confused regarding the following question. My guess is that b is correct, because the gravitational force equation has r^2. However beyond that I am not sure if any other options are correct. Please help


What do you know about a force that follows the inverse square law.
(a) The force is strong.
(b) The force decreases with distance.
(c) The force depends on the magnitude of the masses involved.
(d) The force depends on the magnitude of the charges involved.
(e) The force depends on a universal constant.
 
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You are correct in saying it is (b). (a) does not say anything in general about the law, (c) and (d) can be ruled out by giving coulomb's law and Newton's law respectively and (e) can be ruled out by using as an example the inverse square law that determines the intensity of radiation, emitted at a point source and distributed spherically, at a distance r from the source which does not include any universal constant. (b) is part of the definition of an inverse square law.
 
Newton's law: F=Gm1m2/r2, where the m's are the masses involved, r is the separation, and G is a universal constant. Therefore b, c, and e are all correct.
 
mathman said:
Newton's law: F=Gm1m2/r2, where the m's are the masses involved, r is the separation, and G is a universal constant. Therefore b, c, and e are all correct.

The question is asking about inverse square laws in general though. (c) and (e) are not general cases.
 
Last edited:
WannabeNewton said:
The question is asking about inverse square laws in general though. (c) and (e) are not general cases.
The question is very badly worded.
 

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