Assuming the earth to be a sphere of uniform mass density, how muc | Filo
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Class 11

Physics

Modern Physics

Gravitation

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Assuming the earth to be a sphere of uniform mass density, how much would a body weigh (in N) half way down to the center of the earth if it weighed 250 N on the surface ?

Solution: Weight of a body of mass  at the Earth's surface,
Body of mass  is located at depth,

Acceleration due to gravity at depth  is given by the relation: 

     
Weight of the body at depth , 
       
       
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