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] $ J, p6 p4 `+ \ G7 `0 @1 d6 u1 ^. z' w" _% o4 W8 K0 y+ f" d& x
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] k7 {: ] V% l! H; g H* ]9 ~
- K7 L2 w3 c; f& G5 [
8 j3 X" n! n; Q) @/ n+ j0 h
so far what I have done is used the equation for GPE 6 t% {! R% e6 G/ S+ u8 w5 ?9 G9 kwhich is 2 {$ W7 H; q: R8 W d( M( x: K% C' R$ p
U = - (G me m) / r3 ^ R0 \: G- Z- P0 p
; E+ ^2 u s1 }! v ?! vwhere G is 6.674e-11 Nmkg-20 m& {6 H& r1 k% F) e
me is the mass of the planet 5.1e24 kg - ~% u: \ S; b r& q5 _4 G9 T
m is the mass of the space ship 5.9e4 kg * i d1 U/ w6 Lr 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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6 J& _% }! k# E6 i