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]. P" f* V5 w4 ]4 z' ]. m$ O
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[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]- v4 H0 ~/ b6 [* E, Y& M- ?
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* N5 ^7 W2 V9 F6 [$ [1 }2 Gso far what I have done is used the equation for GPE. T& \, Y9 {1 h) W6 K
which is ! \/ e1 T: u$ Z' l! |U = - (G me m) / r% I4 D* o" q3 v
7 Q8 h: e/ F$ n+ b" _where G is 6.674e-11 Nmkg-2 0 E1 L/ w2 W6 P6 y$ R" [me is the mass of the planet 5.1e24 kg 5 G0 X) u8 [3 `2 {; }4 G( t7 p1 \7 o
m is the mass of the space ship 5.9e4 kg % [: B9 [8 ]# C X# Kr 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