Assuming the earth to be sphere of uniform muss density how much could a body weight half way down to the centre of earth if it Vię weighted to 250 N on the surface
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Answer:
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=R
e
/2
Acceleration due to gravity at depth g(d) is given by the relation:
g
′
=(1−
R
e
d
)g
g
′
=(1−
2R
e
R
e
)g
=g/2
Weight of the body at depth d,
W
′
=mg
′
=mg/2=W/2
=125 N
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