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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]. w- b+ S$ h- ]$ \: @" u
( ?2 W9 g1 U6 e f: p6 s[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
: a' ~9 G4 z, r6 t* C; a0 u4 J/ K# O* T( V8 l, @
. K" e- _1 H4 H! W& [# Z
so far what I have done is used the equation for GPE
+ `+ f: \, w* n9 ~2 ^# Qwhich is 5 b8 G$ M# g9 t5 Z! b
U = - (G me m) / r
9 o) z4 Q) p8 X* C, x& R9 `$ O/ d# G
where G is 6.674e-11 Nmkg-2
# g: t& r5 f( m, F- ]5 t. M0 Xme is the mass of the planet 5.1e24 kg ( d1 _( j5 k( L* k0 _$ |& J
m is the mass of the space ship 5.9e4 kg 8 J1 Y7 ?9 u: {; h+ M y+ {
r 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 |
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