Halliday, Resnick & Walker — Gravitation: Problem Problem_90

Fractional change in \( g \). For a uniform, spherical, nonrotating planet with radius \( R_s = 5.1 \times 10^3 \text{ km} \), let \( g_s \) and \( g_h \) be the values of \( g \) at the surface and at elevation \( h \), respectively. When a particle is lifted from the surface to \( h = 1.5 \text{ km} \), find the fractional decrease in the value of the free-fall acceleration \( g \): \( (g_h - g_s)/g_s \).