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Universal Law Of Gravitation

ScienceNostalgia101
in Physics

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This is school related, but I ask it as a teacher, not a student.

https://wikimedia.org/api/rest_v1/media/math/render/svg/8c6ee5510ba3c7d6664775c0e76b53e72468303a

The above is considered the standard form of the Universal Law Of Gravitation. However, if someone gave the following...

https://wikimedia.org/api/rest_v1/media/math/render/svg/ebf0689fbd05781a129e2df24ef5bd8b7edf2f93

...except without the function notation or r-hat notation, would this count as merely derived from the Universal Law of Gravitation, or as a form of it in and of itself?

Edited by ScienceNostalgia101

Strictly speaking, the law of gravitation is the force, but this depends on how the material was presented. If I were grading it, and had presented the law a the force equation, I would give partial credit with a small deduction (e.g. award 9 points out of 10)

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