Calculate the density of Earth from Newton’s law of gravitation

Dear Student
Assuming earth to be a perfect sphere of radius R and uniform density p,
mass of Earth=volume of Earth x density,
  • The average radius of the Earth is 6.38 x 106 meters

  • The universal gravitational constant G is Nm2/s2
  • The acceleration of gravity at the surface of the Earth is about img

    Substitute the values we will get

    p =3×9.84×3.14×6.67 x 10-11×6.38×106
    img

    Regards

 

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Answer....

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