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]. {! k% q9 [2 x8 y1 O9 J3 H; F9 }
/ P! D2 e6 n# P; y) _
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]1 w6 X! H4 O0 G; o1 x
6 R# L8 A! U" h( j: r5 O0 g
, x! ?4 n9 C9 }! W2 m7 S+ H7 T
so far what I have done is used the equation for GPE6 b h/ {7 r* m1 x* {, J$ k
which is & I1 o% X4 ~ D" z
U = - (G me m) / r ( c2 A$ }# a) F5 p' }1 h# g3 }9 z' M
where G is 6.674e-11 Nmkg-2 2 c' d8 u5 |: q: v2 n% ume is the mass of the planet 5.1e24 kg 1 Q- L( [! S& u: l: M' z i# om is the mass of the space ship 5.9e4 kg & U1 U7 z$ v+ tr 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