How To Calculate The Mass Of Earth ??

 

            HOW TO CALCULATE MASS OF THE EARTH ?


In this post I am going to talk about how to calculate the mass of our earth.

We can calculate the mass of the earth in many ways, But in this post I am going to tell, a easiest way to calculate the mass of our earth.

Now start,

                     w=mg {w is weight of a substance.} {m is Mass of the substance.} {g is the                   gravitational acceleration.}

                   F=GMem/d^2 {Me is Mass of Earth.} {F is the force by which Earth attracts a substance to its center.} {d is the radius of the earth.}

               hence,

                           w=F

                      or, mg= GMem/d^2

                            Or, g=GMe/d^2

                     Or, GMe/d^2=g

                     Or, GMe= gd^2

                     Or, Me = gd^2/G

                     Or, Me = 9.8 N/Kg * (6370000)^2 m^2  /6.67*10-11 Nm^2/Kg^2

                     Or, Me = 6 x 10^24 Kg.

So, The mass of the Earth is 6 x 10^24 Kg.