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]+ h+ G6 C4 c! N7 ?; S: ~! ?
0 s: C. ~" A$ T[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]) L$ B' o& ^. y
6 u! `* i! H( w
) |' ]2 r' {7 C. B" J) ]9 }' |so far what I have done is used the equation for GPE+ }& n/ m3 H, [& e- H( w( I$ v
which is Y R6 M! m u6 k$ m- x8 m( jU = - (G me m) / r 2 _1 v7 ?2 {7 K0 t- } 0 V' Y) T$ a: g/ a2 Twhere G is 6.674e-11 Nmkg-29 s) V6 R o3 G' o
me is the mass of the planet 5.1e24 kg ; b$ L9 k1 _2 G W' h' P
m is the mass of the space ship 5.9e4 kg ! |7 F. A# B; \9 }
r 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