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Question
Assumingthe earth to be a sphere of uniform mass density, how much would abody weigh half way down to the centre of the earth if it weighed 250N on the surface?
Assumingthe earth to be a sphere of uniform mass density, how much would abody weigh half way down to the centre of the earth if it weighed 250N on the surface?
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Solution
Weight of a body ofmass m at the Earth’s surface, W = mg =250 N
Body of mass mis located at depth, 
Where,
=Radius of the Earth
Acceleration due togravity at depth g (d) is given by the relation:
Weight of the body atdepth d,
Weight of a body ofmass m at the Earth’s surface, W = mg =250 N
Body of mass mis located at depth,
Where,
=Radius of the Earth
Acceleration due togravity at depth g (d) is given by the relation:
Weight of the body atdepth d,
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