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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]. o' [8 U' L; A9 S3 h6 a% h
9 p! ~8 g$ x- ]. G[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]; V. U! O4 W( N) d. H+ J8 {5 q8 I
9 M7 \+ E6 C2 w3 v6 p: r: o, }+ w( }0 F! `7 {- B( n
so far what I have done is used the equation for GPE' P7 Y$ p9 k& f$ d
which is
6 H/ ]; @3 N+ V, F# iU = - (G me m) / r
8 p$ K: M, q2 `+ V! j% c6 ^1 w9 J( c u5 Z7 l& K$ ^1 G# V8 n
where G is 6.674e-11 Nmkg-24 D& R' k0 l; Y2 p; C8 o& T5 D" Z
me is the mass of the planet 5.1e24 kg ' q* h4 q3 G# _5 z9 Y
m is the mass of the space ship 5.9e4 kg # C4 q8 x9 m7 a3 p
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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