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]/ N8 H: w. N/ S; E7 ^2 g
' f! R( k) m3 p% u( u; ~8 ~/ r. }[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]9 y/ v9 ~# J4 ?$ b4 R
" B- f) @/ x3 \9 M& \1 q ) y3 ?+ P l e" Y( }% E6 Vso far what I have done is used the equation for GPE8 ~# @6 T4 g0 i/ `
which is & ^0 P+ e* C& p. D; d7 [
U = - (G me m) / r, ]8 t* [$ k F: c c+ t
& S' n& H8 e1 h* Q2 {' M) J
where G is 6.674e-11 Nmkg-27 C8 O5 K4 q) R$ [5 ]3 o N# H- @
me is the mass of the planet 5.1e24 kg ( n5 o7 o! _" q% C# C
m is the mass of the space ship 5.9e4 kg & Z2 U0 p1 L: K E# Y3 H+ d \8 i; R( 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