assuming the earth to be a sphere of uniform mass density how much would a body weight 800 Km below the surface g the earth if it weight 360 N on the surface given that radius of earth R = 6400 Km
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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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