Page 36 - 4167
P. 36

was introduced by Newton as a measure of inertia.
                         Mechanical motion is relative and its character for the same body can
                  be different in different frames of reference .
                          Newton's first law is not fulfilled in all frames of reference but only

                  in inertial frames of reference.
                     Inertial  frame  of  reference  is  such  frame  of  reference  regarding  to
                  which  a  body  free  of  external  force    remains    in  its  state  of  rest  or  of

                  motion at uniform velocity in a straight line.
                      Newton's  first  law  includes    two  statements:1)  all  matter  possesses
                  inertia and 2) there exist inertial frames of reference. All laws of physics
                  are the same in  all inertial   frames of reference .


                                 3.2. Mass. Force. Newton's Second Law. Impulse


                            Mass of a material point (body, object) is a scalar value that is a
                  measure of its inertia. Mass is the quantity of matter a body contains, as
                  measured by acceleration under a given force. On this basis the standard

                  unit of mass is kilogram (kg).
                         The inertia of an object depends on its mass. The greater the inertia
                  of an object, the greater is its mass. Under the action of external force an

                  object  changes  its  velocity  not  instantly  but  gradually,  little  by  little
                  possessing certain acceleration, namely
                                                                  1
                                                            a ~
                                                                        m                                              (3.1)


                  To compare two masses it is enough to measure modulus of acceleration:
                                                          m       m
                                                                       2
                                                          m  2     m 1   .                                        (3.2)


                  If m  and  m   m interact, we obtain
                       1
                                   2
                                                                  m   a   m  a 
                                                            1   1       2    2
                                                                                                         (3.3)
                          In dynamics a new concept to describe the interaction between the
                  objects must be introduced. This is the concept of force F. The word

                  "force" was used repeatedly in the discussion above, even though it had
                  not been previously defined.
                           As  follows  from  Newton's  first  law    force  is  defined  as  value
                  which      is    necessary  to  accelerate  an  object.  Forces  may  vary  in




                                                                35
   31   32   33   34   35   36   37   38   39   40   41