A body has a weight of 81 N on the surface of earth. How much will it weight when
taken to a height equal to half the radius of the earth?
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Answer:
Weight of the body,W=63 N
Acceleration due to gravity at height h from the Earths surface is given by the relation:
g
′
=
(1+
R
e
h
)
2
g
Substituting h=R
e
/2,
g
′
=4g/9
Weight of body of mass m at height h is given as:
W
′
=mg
′
=4/9 mg
=4/9×63=28 N
Explanation:
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