Question

Discuss the variation of g with
(a) altitude (b) depth 

Hard
Updated on : 2022-09-05
Solution
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( 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 

 

 

Solve any question of Gravitation with:-
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