Question

~Jupiter’s mass is 1.88 x 10²⁷ kilograms and its radius is 7.18 x
10⁷ meters. Calculate the acceleration due to gravity on a satellite
5.0 x 10⁶m above the surface of Jupiter.

Answer 1

Dear Student,

Variation of acceleration due to gravity with height is given by the relation :
$\mathrm{g}\text{'}=\frac{\mathrm{g}{\mathrm{r}}^2}{(\hspace{0.17em}\mathrm{r}+\mathrm{h}{)}^2}$
where g is the value of acceleration due to gravity on the Jupiter's surface
r is the radius of the Jupiter = 7.18 x 10⁷ m
h is the height above the surface of the Jupiter = 5 x 10⁶ m

You can find the value of g' if the value of g is given.