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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]* Y3 f) Q9 w0 m# h& i, d( V
; D0 k+ \5 O5 ~- A
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
% f r1 X; q4 R3 R) L. u1 F( j8 ^
' I {2 R: o3 p4 j {$ f
4 [) z( D8 [3 ?2 H* jso far what I have done is used the equation for GPE/ Y# F- t/ P2 E
which is
- W8 N" D, l, i$ M$ ?/ P8 fU = - (G me m) / r* W. s5 f' b' \* z9 ]- G
; Y5 a' \: K, Q6 n4 Q4 {7 k0 [where G is 6.674e-11 Nmkg-2& Q$ \" O& O9 v: [! A3 E
me is the mass of the planet 5.1e24 kg 7 {& Y) \0 A8 t( p1 o/ K5 e6 }1 z
m is the mass of the space ship 5.9e4 kg ; l9 ?; c3 w) x* w+ m
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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