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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]8 E+ g8 o& m6 q( R. {
& P% }% x v' A9 n
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]1 n l. C, s# m% k4 H
6 x# @# I/ v' v' l- g4 N
" C2 P4 e1 Q* C2 c: z% k# q
so far what I have done is used the equation for GPE
3 p9 L4 y+ _4 G9 x, ?( ~9 mwhich is . Z& n# d' r3 o* Y1 N6 v
U = - (G me m) / r7 e; F1 `* i6 k' O% G: Q( @! v
: u! K; }" ]6 j( k7 J
where G is 6.674e-11 Nmkg-2
. }% k# X5 R) y5 Tme is the mass of the planet 5.1e24 kg
3 P6 s) {' ~$ Qm is the mass of the space ship 5.9e4 kg
, R% A+ T" @1 h d- R+ _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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狗仔卡
发表于 2009-11-10 21:41
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