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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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[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
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: O E3 N. c# uso far what I have done is used the equation for GPE) C( z* h' B/ b( B1 z
which is
, `9 X* U* O# DU = - (G me m) / r
- ` L+ q- n: [, O% N/ Q) ^% q# G; j
where G is 6.674e-11 Nmkg-2
' L% r% b: b! C3 fme is the mass of the planet 5.1e24 kg
" |- h1 E/ h# Om is the mass of the space ship 5.9e4 kg
1 G+ F2 O2 J4 ]" L8 z9 C, 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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