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en.wikipedia.org/wiki/Newton%27s_law_of_universal_gravitation

Newton's law of universal gravitation states that a particle attracts every other particle in the .... that an inverse square law applies or might apply to these attractions. .... What Newton did was to show how the inverse-square law of attraction had .... 2 objects are involved (such as a rocket between the Earth and the Moon).

it applies to the earth and moon because their two objects in the universe that attract each other.

www.theguardian.com/science/2013/oct/13/newtons-universal-law-of-gravitation

Oct 13, 2013 ... Newton's Universal Law of Gravitation: 'a simple equation, but devastatingly ... Newton concluded that the moon did feel the effect of the Earth's ...

www.physicsclassroom.com/class/circles/Lesson-3/Newton-s-Law-of-Universal-Gravitation

But Newton's law of universal gravitation extends gravity beyond earth. .... Gravitational interactions do not simply exist between the earth and other objects; ... Newton's comparison of the acceleration of the apple to that of the moon led to a ...

www-istp.gsfc.nasa.gov/stargaze/Sgravity.htm

Since its size does not appear to change, its distance stays about the same, and ... To keep the Moon moving in that circle--rather than wandering off--the Earth ... Newton went further and proposed that gravity was a "universal" force, and that the ... Nowadays students who derive Kepler's laws from the "inverse-square law"  ...

socratic.org/questions/how-does-newton-s-law-of-universal-gravitation-relate-to-ocean-tides

Oct 14, 2015 ... The reason for this is the moon has a greater gravitational pull on earth's water than earth does so when the moon get's closer it is pulling on ...

socratic.org/questions/how-does-the-law-of-universal-gravitation-apply-to-planet-motion-around-the-sun

Sep 13, 2015 ... Newton's Law of Universal Gravitation states that there is a force of mutual gravitational attraction between any 2objects in the universe.

socratic.org/questions/how-does-newton-s-second-law-relate-to-the-force-of-gravity

Nov 18, 2015 ... Newton's second law is F=ma , gravity accelerates objects. ... On Earth, apples only fall because of the force of gravity. ... know that it is a FORCE proportional to an object's mass, whether a star, a planet, a moon or a pencil.

thescienceclassroom.wikispaces.com/Newton%27s+Law+of+Universal+Gravitation

"As we walk on the surface of the Earth, it pulls on us, and we pull back. ... He proclaimed that gravity effected everything on and near Earth, like the moon, and ... But to prove his theory of universal gravitation he did not use calculus as one might ... that if gravity, as he called it, applies here on earth why shouldn't it apply to ...