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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], ^# c2 A% ~/ D% j" p' d( p+ N
1 f0 A. `" V/ ^2 J[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
9 O# C. o; D8 B8 M ?% Z6 q
) q1 G; |, Y+ m# S( N% _3 K
, H, |6 R% W7 ^% |: _7 J" |so far what I have done is used the equation for GPE
4 h; A% u# h- ^. u: f' l0 Ywhich is 5 o% T3 F2 Q5 W3 G/ G
U = - (G me m) / r& l/ p& ?0 c3 p6 W0 U# e3 L
1 O: R4 g7 b/ b: w( `! F$ L+ B
where G is 6.674e-11 Nmkg-2
2 l- y. s; l# O2 S ]$ M$ w* ^me is the mass of the planet 5.1e24 kg
' B& X+ f/ }0 d ^6 w+ `$ hm is the mass of the space ship 5.9e4 kg
! C' T; i) @1 J2 S3 lr 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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