Gravitation
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Question : 16
Total: 25
Assuming the earth to be a sphere of uniform mass density, how much would a body weigh half way down to the centre of the earth if it weighed 250 N on the surface?
Solution:
Variation of acceleration due to gravity g with depth d is
g ′ = g ( 1 −
)
Weight of body at a depth d
m g ′ = m g ( 1 −
)
= 250 ( 1 −
)
= 125 N .
Weight of body at a depth d
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