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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]. I, a5 E. c- c. k1 j
& Z0 g* s5 A4 h# D
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]' V+ \) m3 z- R8 S6 x, u
, z3 r9 }9 C! X& b( _, @' V$ E% U* b% V( X, C6 w
so far what I have done is used the equation for GPE
. z: s/ x8 a, D. B, n' E: P+ Swhich is 9 W& r1 t: A% S: u: {8 W' @1 c: [
U = - (G me m) / r$ `# |4 V8 l2 a4 m) a
) u0 ^' P2 y& a1 r- z! m( |where G is 6.674e-11 Nmkg-2
' P- @1 G! s1 r% [2 D% sme is the mass of the planet 5.1e24 kg & c" Q( `! M( x9 X
m is the mass of the space ship 5.9e4 kg
2 h- l, q _0 }8 Nr 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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