Show that, for a point inside Earth at a depth below the surface ( and ), the…

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Show that, for a point inside Earth at a depth

d

below the surface (

d \le R

and

d \ll R

), the acceleration due to gravity is approximately

g_d \approx g\bigl(1 - \tfrac{d}{R}\bigr)