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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]& r7 u# I+ v( B' s4 @
4 R0 k' ]8 X' o6 m5 e- v[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
: P, C5 b- ~/ B( C0 ]& k" w
+ T( P3 q* n! a/ Y+ }
9 ~7 k& G; i7 R. j* i4 d `0 Jso far what I have done is used the equation for GPE7 ^' W, Y/ w, k; }3 b/ F% Q
which is # u# Z- B, x% S: ^/ z
U = - (G me m) / r
( V9 }1 M; ]( p1 s
, B" z& O' f8 L6 D, q. E7 Xwhere G is 6.674e-11 Nmkg-2/ O, A6 U6 }/ O8 z) `- ^
me is the mass of the planet 5.1e24 kg
; {, I2 C _# |: O4 I, p# i7 nm is the mass of the space ship 5.9e4 kg 6 o$ \, `( |: j. ]
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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