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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]
) |! u/ F3 M0 f/ L9 [. v% n" y. L: S1 r$ i% L4 z6 a$ E
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]2 M8 y3 c# \6 H
5 F* o' a* ^* }8 G4 \$ Q" Z3 ?5 @' j* j6 |' r
so far what I have done is used the equation for GPE/ B- D5 G: i% q5 d: N; V
which is . ?3 U: y, {+ A7 G* B7 p* t) T
U = - (G me m) / r( M& T$ j; c% W4 P1 @0 |
! s/ _! t4 e, V" N Q3 w$ Cwhere G is 6.674e-11 Nmkg-2
; F' x. h* Q3 X+ X7 g |/ Hme is the mass of the planet 5.1e24 kg + q; w' g/ f% h6 y6 R8 G, R
m is the mass of the space ship 5.9e4 kg " x" V2 V8 ?- X) n3 @
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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