Tuesday, August 12, 2014

With what force does the earth atract the moon ?

TO solve the force of attraction between the Earth and the
Moon we use Newton's Law of Gravitation.


The gravitational
force between two objects of mass m1 and m2 placed a distance d apart is m1*m2*G*r^2,
where G is the universal gravitational constant.


So now the
mass of the moon is 7.35E+22 Kg. Mass of the Earth is 5.98E+24 Kg. The Gravitational
constant is 6.67E-11 nt-m2/Kg2.


The distance between the
Earth and the Moon is 3.85E+08 m


Therefore the
gravitational force of attraction between the Earth and the Moon
is:


6.67* 10^-11 nt-m^2/Kg^2 * 7.35*10^22 kg* 5.98*10^24 kg
*(3.85E+08) ^2 m^2


= 1.98* 10^20
N


So the force of attraction between the
Earth and the Moon is 1.98* 10^20 N.

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