1.

The acceleration due to gravity at a height h above the surface of the earth is the same as its value at a depth d below the earth's surface . Find the relationship between d and h.

Answer»

SOLUTION :Acceleration due to GRAVITY at a height ,
`g_1=g(1-(2H)/R),` where R=radius of the EARTH
ALSO, the value of acceleration due to gravity at a depth d.
`g_2=g(1-d/R)`
Given `g_1=g_2 or, g(1-(2h)/R)=g(1-d/R) or, d=2h`.


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