Page 64 - Force 10
P. 64

2
                          Using the binomial expansion  1 +                                      = 1 + n   +               (  +1)          + …………
                                                                                                                              2!





                          We can write

                                                                                                          −  
                                                                                    g’ = g    +
                                                                                                        



                                                                                                              
                                                                             g’ = g    −                         − … . .

                                                                                                             

                                                                                      
                               Neglecting the higher power of                          , we get
                                                                                      

                                                                                                                  
                                                                            g’ = g     −   
                                                                                                                  



                            This relation shows that g’< g.


                            Thus, the value of acceleration due to gravity decreases with


                            increase in height, as we go up.
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