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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]
; X( |# L1 Q- h, w8 _( O) P+ a! N3 s4 c d$ g9 W2 n* k
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]' D- _5 ~/ w; t7 {5 d
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9 f. {- _7 G D( Z# b7 ~so far what I have done is used the equation for GPE$ r* i8 x* I: H# L* [* `
which is
& {; t3 N" ^6 Y* w' CU = - (G me m) / r
' c) R/ v- }& ]" k
" D3 J6 g, l# z" g* S0 E9 ]where G is 6.674e-11 Nmkg-2
4 ?5 o% v" t0 q6 \me is the mass of the planet 5.1e24 kg * }: {# J8 `9 r( B3 u
m is the mass of the space ship 5.9e4 kg
% C( ^) ?- @% V0 _/ c4 {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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狗仔卡
发表于 2009-11-10 21:41
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