Derive an approximate expression for the acceleration due to gravity at a height…

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

Problem

Derive an approximate expression for the acceleration due to gravity ghg_h at a height hh above Earth’s surface, where h≪Rh \ll R. Show that gh≈g(1−2hR)g_h \approx g\bigl(1 - 2\tfrac{h}{R}\bigr).

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