Discuss the variation of g with
(a) altitude (b) depth
( a ) The acceleration due to gravity on the earth is given by
. . . . . . .( 1 )
The acceleration due to gravity at height 'h' from the surface of the earth is given by
. . . . . . ( 2 )
From ( 1 ) and ( 2 ) we have,
( b ) The acceleration due to gravity on the surface of the earth is given by.
. . . .( 1 )
let 'Q' be the density of the material of the earth.
Now, mass = volume density
Substituting in equation ( 1 ) we get
. . .. .. ( 2 )
. . . .. .( 3 )
Dividing equation( 3 ) by ( 2 ) we get