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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Answers
Answered by
4
Explanation:
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
Answered by
1
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