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 A. f- `. j. U4 {$ I u/ X : _6 f& ^( K x0 `# L[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] . i! y3 _' m' b ^* S5 O& q$ r+ w( Q- S3 T0 I& l
2 y& o/ X% [/ l- @) A
so far what I have done is used the equation for GPE" i. P! x% Z; Y i
which is ( Q& f1 K1 [7 Q. P! |, m$ v: c
U = - (G me m) / r : q+ g6 J7 \ c% |; S9 G- i- P: d
where G is 6.674e-11 Nmkg-2- ]* A: ~+ J7 L6 Z* h3 [/ {8 |. I% l4 ] N
me is the mass of the planet 5.1e24 kg * G1 l) J( f5 U; v4 y& Qm is the mass of the space ship 5.9e4 kg " C+ w" [- Q7 l" t6 z6 u: @2 y
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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