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]2 O' R- m; @, [* w+ M q
5 T# s g. Q# @& J! b[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] ; ]5 ~# ~5 s) x- Z 3 X7 G w! F* v# o $ ^$ @1 o. S% V Mso far what I have done is used the equation for GPE _( R) p7 r6 s2 F5 vwhich is 8 J4 g1 m6 _- D b% D- H, ~) dU = - (G me m) / r6 U9 o* @ S" N4 W' l
% @8 g1 v4 K- e- \6 vwhere G is 6.674e-11 Nmkg-2. g! U$ A9 U% b- ^/ Y/ ~5 e- ]- C
me is the mass of the planet 5.1e24 kg 8 }: a8 I* _( Em is the mass of the space ship 5.9e4 kg . g9 B2 a2 z( p( e& ur 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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