 鲜花( 0)  鸡蛋( 0)
|
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]) Z* ]( w' Y; U
$ @" Y( j# \* k& T! a2 ~4 }
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
' @$ I) E1 p: _9 c2 S' e: I8 \% o) z! d4 a( _. }' x. D
6 w( q% k- M3 V4 s' v6 |" _' v A
so far what I have done is used the equation for GPE
. l* Y) {+ k5 b N7 }& fwhich is
7 _# V! x' q Y* w2 e7 R9 PU = - (G me m) / r- X, p) s9 j% y& Y, B, i1 S, ?
: D6 ^( [7 Z+ m% S& Qwhere G is 6.674e-11 Nmkg-26 E& ~5 C, l/ M8 n* h, _* c- `( q
me is the mass of the planet 5.1e24 kg 5 S( ]# a6 V' y5 N* B/ S4 D! O- `
m is the mass of the space ship 5.9e4 kg 7 B: l. D& @+ @; c# D0 F6 y
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 |
|