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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]" y7 E% J3 R. B) G
u2 I# X, B8 ^ \2 A[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
4 i& A/ L/ K, G2 M* Z, D4 ]
4 [! j' L# H9 U" }! K1 b, g$ [1 O
( F; m* C" K( m* G1 y" E) {+ }so far what I have done is used the equation for GPE- H; T; y5 l. g: t4 P, {! A
which is + j' b3 q, q3 y9 O0 ?% h( e
U = - (G me m) / r
. t' R0 }( t. p+ u1 n
+ v7 q* d: d+ ]1 u# F9 W* Mwhere G is 6.674e-11 Nmkg-2
2 s2 r# F ]: q$ H) @4 B8 \) f. Hme is the mass of the planet 5.1e24 kg ! l1 n( ?, f8 r) Y& |
m is the mass of the space ship 5.9e4 kg ; S; e" z9 k5 p7 t
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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