Assuming that the earth to be a sphere of uniform mass density.how much would a body weight half down to the centre of the earth if it's weight is 250N on the earth surface?
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Weight of a body of mass m at the Earth's surface,W=mg=250 N
Body of mass m is located at depth, d=Re/2
Acceleration due to gravity at depth g(d) is given by the relation:
g′=(1−Red)g
g′=(1−2ReRe)g
=g/2
Weight of the body at depth d,
W′=mg′
=mg/2=W/2
=125 N
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