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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]
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; y+ V0 `' O5 W% d/ Y/ B6 L[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]3 M# g% C- p; R2 ?
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so far what I have done is used the equation for GPE
: l$ }- K" p: }, l! pwhich is " R9 {8 G/ A f
U = - (G me m) / r! c- \0 \3 j# w9 ]; T
" p+ d" e" Q5 T' [, Z+ Q) owhere G is 6.674e-11 Nmkg-2
& t; K5 v6 E4 X3 G7 wme is the mass of the planet 5.1e24 kg . b/ \5 M4 s1 Y& s; d$ Z
m is the mass of the space ship 5.9e4 kg
- p6 U9 Y" }4 ]9 |8 or 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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