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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]0 l. ]: I1 q- [: Y* l) J6 _1 g
2 r7 V8 t+ K6 Z$ e9 F( H- y
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]/ H0 O, S$ x. E; b+ Q% B
& |5 O) c/ L, \, `4 \0 C* d, e1 V: |# s5 t
so far what I have done is used the equation for GPE
# q5 s, N n! |5 ^* h6 {which is
3 B4 p4 H* @6 ?0 B" P2 L5 sU = - (G me m) / r
: _" L2 s! D) f- L' v
; [: Y- t$ C6 `0 v7 ~& i" mwhere G is 6.674e-11 Nmkg-2, K' t6 O0 ^# I- h/ t
me is the mass of the planet 5.1e24 kg
( R7 g; e* v2 X1 d V, gm is the mass of the space ship 5.9e4 kg
" z. u* k' j) a5 tr 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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3 Q v7 N, g2 } P6 P/ m2 F# H/ l