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- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/05%3A_Forces/5.02%3A_Common_Forces_-_The_Gravitational_ForceWe have to keep six significant digits since we wish to compare the difference between them to the difference for the Moon. (Although we can’t justify the absolute value to this accuracy, since all va...We have to keep six significant digits since we wish to compare the difference between them to the difference for the Moon. (Although we can’t justify the absolute value to this accuracy, since all values in the calculation are the same except the distances, the accuracy in the difference is still valid to three digits.) The difference between the near and far forces on a 1.0-kg mass due to the Moon is
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/Book%3A_University_Physics_I_-_Mechanics_Sound_Oscillations_and_Waves_(OpenStax)/13%3A_Gravitation/13.02%3A_Newton's_Law_of_Universal_GravitationAll masses attract one another with a gravitational force proportional to their masses and inversely proportional to the square of the distance between them. Spherically symmetrical masses can be trea...All masses attract one another with a gravitational force proportional to their masses and inversely proportional to the square of the distance between them. Spherically symmetrical masses can be treated as if all their mass were located at the center. Nonsymmetrical objects can be treated as if their mass were concentrated at their center of mass, provided their distance from other masses is large compared to their size.
- https://phys.libretexts.org/Courses/Muhlenberg_College/MC%3A_Physics_121_-_General_Physics_I/13%3A_Gravitation/13.02%3A_Newton's_Law_of_Universal_GravitationAll masses attract one another with a gravitational force proportional to their masses and inversely proportional to the square of the distance between them. Spherically symmetrical masses can be trea...All masses attract one another with a gravitational force proportional to their masses and inversely proportional to the square of the distance between them. Spherically symmetrical masses can be treated as if all their mass were located at the center. Nonsymmetrical objects can be treated as if their mass were concentrated at their center of mass, provided their distance from other masses is large compared to their size.
- https://phys.libretexts.org/Workbench/PH_245_Textbook_V2/05%3A_Module_4_-_Special_Applications_of_Classical_Mechanics/5.01%3A_Objective_4.a./5.1.01%3A_Newton's_Law_of_Universal_GravitationAll masses attract one another with a gravitational force proportional to their masses and inversely proportional to the square of the distance between them. Spherically symmetrical masses can be trea...All masses attract one another with a gravitational force proportional to their masses and inversely proportional to the square of the distance between them. Spherically symmetrical masses can be treated as if all their mass were located at the center. Nonsymmetrical objects can be treated as if their mass were concentrated at their center of mass, provided their distance from other masses is large compared to their size.
- https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Celestial_Mechanics_(Tatum)/05%3A_Gravitational_Field_and_Potential/5.03%3A_Newton's_Law_of_GravitationNewton noted that the ratio of the centripetal acceleration of the Moon in its orbit around the Earth to the acceleration of an apple falling to the surface of the Earth was inversely as the squares o...Newton noted that the ratio of the centripetal acceleration of the Moon in its orbit around the Earth to the acceleration of an apple falling to the surface of the Earth was inversely as the squares of the distances of Moon and apple from the centre of the Earth. Together with other lines of evidence, this led Newton to propose his universal law of gravitation: