A body weights 500 Non the surface of earth. At what distance below the surface of earth it weight 250 ~N ? (Radius of earth, R=6400 ~km )

Step-by-step solution

Value of acceleration due to gravity decreases on going below the surface of the earth. Weight (w) of a body is defined as product of mass (m) and acceleration due to gravity w=m g . The value of g below the surface of earth at a distance h is given by, aligned & g^ =g (1- h R ) & W^ =W (1- h R ) aligned Given, W^ =250 ~N and W=500 aligned & 250=500 (1- h R ) & h= R 2 =32000 ~km aligned