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] ( _1 b) A% z+ B. w& q 3 C6 m% t) Y( N* T7 c0 Y[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]# |# d k0 R# w/ S
9 O" b% f# u$ F5 K/ C: o( H' Y 3 n0 w- q$ ~9 F* U* nso far what I have done is used the equation for GPE' {7 z6 K8 j$ |/ u
which is : @0 F( x: t1 V' t' V. E# QU = - (G me m) / r " L$ s6 c( u: d! x' m1 M7 W; f9 ?2 I6 w! M) O4 Z& C$ h4 E
where G is 6.674e-11 Nmkg-2 * l: x( g1 x5 Z M: kme is the mass of the planet 5.1e24 kg , A) W0 h; k$ j# Zm is the mass of the space ship 5.9e4 kg 7 h# _; J$ Q6 i$ D6 }$ Jr 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