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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]
+ U6 [6 @- h+ y( v6 r* I) Q" i3 O+ [( f. w
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
- u8 n; v6 Y; z+ i. C% Y5 }) P/ `' e4 C5 J2 ?5 u
2 i1 y0 t% \, x2 o m
so far what I have done is used the equation for GPE
& W6 v. E% ]! U( v+ Z& Gwhich is
6 Q; w) w, z7 z* v7 H% v$ S% D6 hU = - (G me m) / r
* j, z, v5 A0 |- x" @
# U# K0 C. ]! ]# y( [. m$ \' twhere G is 6.674e-11 Nmkg-27 E/ }2 ]3 l* w$ R
me is the mass of the planet 5.1e24 kg 8 K- ^; C* h0 o! T& }( D. Y
m is the mass of the space ship 5.9e4 kg
& H- r. S9 \& q7 ?3 s. w1 ~3 M) 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 |
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