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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' s/ n5 B. A- G: `' \1 C
; w: ]% `: l9 G F' H" ~
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
0 u2 b8 e8 Z- M3 O2 k7 g/ Z" c' c/ ?: B6 u% p" n( e7 f; T
! u3 M: r, `. g
so far what I have done is used the equation for GPE
. N2 l4 R- ?- ^. f: [" Awhich is
: G* v8 {( Q2 o5 p( j6 ?U = - (G me m) / r, L) i" o, }% [* Y% | R8 j
3 w9 E! W# T4 a* D& @& N8 ~! awhere G is 6.674e-11 Nmkg-2; v2 r4 k, j; o1 |
me is the mass of the planet 5.1e24 kg
2 \/ e" X$ I4 t) c0 B8 b& Pm is the mass of the space ship 5.9e4 kg * x' u& `% q$ w, d: ~/ 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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发表于 2009-11-10 21:41
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