Show that, for heights that are very small compared with the Earth’s radius , the…

PHYSICS · Subjective · CBSE · Physics · Gravitation · Gravitation

Problem

Show that, for heights

h

that are very small compared with the Earth’s radius

R

, the fractional decrease in the acceleration due to gravity is approximately

\dfrac{2h}{R}

when terms beyond first order in

\dfrac{h}{R}

are neglected.