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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]
$ c- f9 n- @# i1 {( b0 V& Q! {
0 r: s, x' i* K) p[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]5 ~, s$ ?, E, {
. l* }$ q, O( G
" [* _/ p* Y) V: r) e5 nso far what I have done is used the equation for GPE
- ~! W) \/ E: qwhich is - ?# d5 @2 k' B5 s0 n" J8 l
U = - (G me m) / r
5 X& P( I! i/ D# A# y- T. `. x! r* l3 T9 t
where G is 6.674e-11 Nmkg-2
1 y8 s; r _% \7 }; f1 tme is the mass of the planet 5.1e24 kg ) E# X" j+ ^4 N; s# O( v6 X. ?3 }
m is the mass of the space ship 5.9e4 kg
1 F4 J) p8 r# A% j: Ar 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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