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Gravitation is one of the four fundamental interactions of nature, along
                  with  electromagnetism,  and  the  nuclear  strong  force  and  weak  force.
                  Modern  physics  describes  gravitation  using  the  general  theory  of
                  relativity by Einstein, in which it is a consequence of the curvature of

                  spacetime  governing  the  motion  of  inertial  objects.  Newton's  law  of
                  universal  gravitation  provides  an  accurate  approximation  for  most
                  physical situations.

                        There is a famous  story that Newton was sitting under an apple
                  tree, an apple fell on his head, and he suddenly thought of the Universal
                  Law of Gravitation. As in all such legends, this is almost certainly not
                  true  in  its  details,  but  the  story  contains  elements  of  what  actually

                  happened.
                                                        What Really Happened with the Apple?
                                                        Probably  the  more  correct  version  of  the

                                                        story  is  that  Newton,  upon  observing  an
                                                        apple fall from a tree, began to think along
                                                        the  following  lines:  The  apple  is

                                                        accelerated, since its velocity changes from
                                                        zero as it is hanging on the tree and moves
                                                        toward  the  ground.  Thus,  by  Newton's

                                                        second law there must be a force that acts
                                                        on  the  apple  and  causes  this  acceleration.
                                                        Let's  call  this  force  "gravity",  and  the
                                                        associated  acceleration  the  "acceleration

                  due to gravity". Then imagine the apple tree is twice as high. Again, we
                  expect the apple to be accelerated toward the ground, so this suggests
                  that this force that we call gravity reaches to the top of the tallest apple

                  tree.
                           Now came Newton's truly brilliant insight: if the force of gravity
                  reaches to the top of the highest tree, might it not reach even further;   in
                  particular, might it not reach all the way to the orbit of the Moon! Then,

                  the orbit of the Moon around  the Earth could be a consequence of the
                  gravitational force, because the acceleration due to gravity could change
                  the  velocity  of  the  Moon  in  just  such    way  that  it  followed  an  orbit

                  around the  Earth.












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