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]) j* D" v3 N! O$ e
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[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]4 z; S. ?, _9 c" p5 ~
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so far what I have done is used the equation for GPE 4 H+ _! Q" W+ M0 O/ F+ k0 `which is M% u# `0 v- R6 g* q f. ^U = - (G me m) / r ! \) a# H+ ~: c# y) M) J" N0 }$ z- ~1 `$ g
where G is 6.674e-11 Nmkg-2 6 }$ n5 o. ]) t4 F5 ?me is the mass of the planet 5.1e24 kg / t9 k! P, `; n! T. Dm is the mass of the space ship 5.9e4 kg ; G" `" [7 E1 _. E$ n# jr 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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