A space craft of mass 5.9×104 kg is in orbit around a planet of 5.1×1024 kg. If the planet can be assumed to be a uniform sphere of radius 5.4×106 m and the space ship is orbit a height of 6.9×105 m above the surface what is the gravitational potential energy of the ship? [G=6.674×10-11 Nm2kg-2] ' [6 O/ O! `) `0 J* }: D7 K% f7 C' z4 Q. |( U! V2 W8 ~8 ~4 A5 E
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 7 f. M( ]; X8 V3 Q! B) G3 K0 A2 {0 l6 c$ S w! B+ ~
; X3 q* n1 j) b6 K) o1 t, W8 Dso far what I have done is used the equation for GPE ) E8 c" b- m; f) R- Ywhich is % G+ |+ z' C. Y1 B* d% UU = - (G me m) / r 8 R0 `" n5 }, P# ^+ e' `$ y8 l9 a) W/ A) h# b2 Z
where G is 6.674e-11 Nmkg-2 8 r" G6 U i) }3 Q$ ?7 S Mme is the mass of the planet 5.1e24 kg 1 p5 v+ h) y/ S) l! t3 D+ d p% gm is the mass of the space ship 5.9e4 kg 6 u0 }1 O* d# ?! H2 Q( ?1 Q" sr is (i think) the radius of the planet (5.4e4 m) added to the height of the space ship is above the planet (6.9e5 m) and then divided it into G me m