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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]- ]2 B1 _/ B2 G# p; s6 N
! F, @8 P4 f# u( x[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]5 h* i7 [6 k7 A) ^7 e- N, j: Y0 p
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$ ?" L2 [4 b/ f8 J U, Hso far what I have done is used the equation for GPE2 |5 b" Q7 {" l5 c2 v- W0 H
which is
5 `+ }* s1 y; s) w) O8 j1 r: N7 a7 A* UU = - (G me m) / r
4 C+ [+ Z: @' {7 d7 d1 I8 d" G$ |1 Y/ C/ g
where G is 6.674e-11 Nmkg-20 l& t! ]: K2 A& j' p" u1 `
me is the mass of the planet 5.1e24 kg 4 h1 G/ Z1 u' I$ R1 G
m is the mass of the space ship 5.9e4 kg ; N* L6 K& P$ L& P3 q) n
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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