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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]$ p; U+ n# D, ~$ f$ g- n' I) _& b
9 m. Q; s/ v! H9 B% B
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]5 i) M6 K, `4 p. B
& K, v: ?! z3 W8 O! r
6 L9 D% k# h* _so far what I have done is used the equation for GPE
: G& e5 y% ^! H2 lwhich is ) M' A9 t" ~5 `% Y$ Y) I
U = - (G me m) / r1 c7 r& b* h; n* e8 b Y
( M) n; q4 G, P' J' |/ ~& m! B$ Nwhere G is 6.674e-11 Nmkg-2* h& |! H' X/ W& b; g
me is the mass of the planet 5.1e24 kg 5 n* Y9 v, O! c% b
m is the mass of the space ship 5.9e4 kg ' t* i2 W& Q- C8 e: Q! o( q
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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