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] : v; `# x9 Z1 d) s3 M + C2 f0 V# H- b& G" D7 E7 O[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 2 S6 Q4 U0 u( ^" r( |: N' O ! s0 p4 b n/ L5 |' U1 P' C/ C3 ]; D7 c' G
so far what I have done is used the equation for GPE 8 d) O# |, e- wwhich is 2 F6 Y& s0 x1 d* @ V0 y
U = - (G me m) / r6 {8 Z1 \1 g4 ?* g! f/ \
& E6 a* y- }: ]. Z; Vwhere G is 6.674e-11 Nmkg-24 P" p/ Y$ w. |7 j/ y
me is the mass of the planet 5.1e24 kg + \, x W4 x3 ^2 pm is the mass of the space ship 5.9e4 kg 8 `8 c! \: P5 k( q$ z9 f/ r" wr 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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: G- o$ X c# m+ U' X. M8 ^2 L! b