Fractional change in g$.$ For a uniform, spherical, nonrotating planet with radius RS $=4\mathrm{.}50\backslash$times $103$ km$,$ let gs and gh be the values of g at the surface and at elevation h$,$ respectively. When a particle is lifted from the surface to h $=1\mathrm{.}41$ km$,$ find the fractional change in the value of the free$-$fall acceleration g: $($gh $$ gs$)/$gs$.$