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] 4 @3 ]6 M: M' M7 U- p 2 z1 F. Q3 l/ s. x6 }2 h[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] ) I* g+ f% ?) R( d1 |9 i* u( v; X # U& h$ B, Z# j3 B1 g! L- t8 [ \0 F( E& H. a1 x8 f" t2 l* t
so far what I have done is used the equation for GPE * y+ i7 W: S6 _( Dwhich is ; t4 j8 ]6 ]0 S" z0 G4 m0 {$ DU = - (G me m) / r ) ?- W: L9 ~' A; c8 t' P4 j6 [' `6 T& M: K5 L3 e! {. K2 e$ u. R
where G is 6.674e-11 Nmkg-2 % q% s! b# @ q& n9 Xme is the mass of the planet 5.1e24 kg 3 a8 \+ _5 k! K. [
m is the mass of the space ship 5.9e4 kg % Q9 [; ^7 ~/ Zr 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