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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]. u( T J) ?" x0 }, C* T" c
+ h T% I) f7 [% O9 ?) V7 z[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]+ ]) l' m: r9 U5 d( ^1 O) d4 Z
, ?% `, N4 o* e. A1 |, F+ p! L0 n+ s; B L4 _
so far what I have done is used the equation for GPE/ p$ B9 t0 G3 N5 o$ j R% P
which is 5 f# x# @! ]# D( n
U = - (G me m) / r7 h: r( N! m! j# c9 U* i
% q& T# a( T" ]3 o% p) M
where G is 6.674e-11 Nmkg-2
6 b6 g: v/ C6 ?me is the mass of the planet 5.1e24 kg
2 e9 P" W; j6 i# x" ]% fm is the mass of the space ship 5.9e4 kg : A' p( L" M% Q, ?) f9 {" U
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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4 ^7 U, N$ [- W! g; j