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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]
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, y8 J( @6 z0 }- e[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
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9 r: l! M* M V) Zso far what I have done is used the equation for GPE% J% I3 z# P2 ^6 M" l q
which is $ G e4 j( Y5 E3 i9 W
U = - (G me m) / r% Y7 f0 L& _% ^5 v% I* C
' @- @+ ^5 \+ D; swhere G is 6.674e-11 Nmkg-2: V8 b/ ~. n" w, `* z5 u
me is the mass of the planet 5.1e24 kg / j/ B/ O% ] p. A
m is the mass of the space ship 5.9e4 kg
2 v, v9 z! c( |; I2 x& `8 R# {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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