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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]
3 p3 W: j7 {& _: q: _; a! w! o% B6 v# J
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
@& [/ J! x0 g: [$ ?7 o, l! c1 Q& G5 A4 [2 F& M
" J. m, W" ]& ~6 Jso far what I have done is used the equation for GPE
" E( Q( r) D& b" pwhich is 1 J& e! C4 k4 b' n1 d3 r- e
U = - (G me m) / r9 J& l2 R+ U& k# c5 {3 p# ~. s
( `/ E) S, Q, M/ F# fwhere G is 6.674e-11 Nmkg-2
* m/ T9 ?1 X4 ^" b, ume is the mass of the planet 5.1e24 kg 1 y) @( h) ~6 v( V8 n. p8 |
m is the mass of the space ship 5.9e4 kg
( g) o1 X, g; y k5 J" ir 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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