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]8 o+ K2 k: {* N5 @9 @
9 {: t6 z/ Z0 _$ X7 A0 ?
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]' t4 v2 B1 v9 r1 U" G
( F# Q" ]; ~; c& y n9 S, S6 `* c& e1 E6 G- C
so far what I have done is used the equation for GPE7 M, [5 _! G5 ~& ~
which is 7 l( [" I! A- n3 E0 p6 U6 {
U = - (G me m) / r/ y/ R" J# \7 C! F" h
' b0 ^8 b- B2 Y2 v( E7 A# Pwhere G is 6.674e-11 Nmkg-2 : Y! n: o( c% e4 z% Q% ?me is the mass of the planet 5.1e24 kg 4 A* j6 o4 E1 y7 V' |9 Q) Hm is the mass of the space ship 5.9e4 kg 0 P9 Q# }* F1 {; xr 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