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]: k( E4 T. ]" l, ?- C
4 Y: M/ _: ]8 J6 ]2 N% `
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 8 v# y/ M0 d: e6 i3 |8 C & _ k+ x$ N- x6 K! \* m% ~7 ^6 E* f6 H% L% f/ y) `
so far what I have done is used the equation for GPE 5 N6 a8 ^1 z! @$ k9 pwhich is ! I; _0 i- O j
U = - (G me m) / r % U G/ g8 h! S1 R( d# \9 {/ H* P: `- e* \3 y
where G is 6.674e-11 Nmkg-2 ' w6 u* N$ q0 X @me is the mass of the planet 5.1e24 kg % _! L& ~0 Y) P& r2 O3 D+ B. U2 Um is the mass of the space ship 5.9e4 kg 4 S; j- Q: j. s1 x" R, R" Z! \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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