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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]
m3 _8 d* [$ x2 h7 I; u& ~! P0 t) J1 K$ v, {! O
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
" m% ^6 n2 S+ }% M" d, `0 {: A: u" }/ P
: w. c/ P9 j& S; }so far what I have done is used the equation for GPE0 R. x" q1 i c" U8 m, _0 t
which is
. R" j0 U9 h" WU = - (G me m) / r
: d/ G. E0 {7 W, C
' u3 }4 q' [, K I: \7 b6 v& _where G is 6.674e-11 Nmkg-2
8 n* c- D( q% z( Z9 u* }0 H& Yme is the mass of the planet 5.1e24 kg : J$ N6 W4 O$ G0 a- _
m is the mass of the space ship 5.9e4 kg 1 o! Y) t4 I6 L
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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