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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]0 f* _6 |6 r4 S8 j+ v$ j5 v
# I/ L) i% y3 y' a }. s2 \9 f
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]" v! n6 z' w& s/ T$ `- |* ~- r
2 @' p4 F, J m( y" P+ F, _: l# z" S* l# p: W* q
so far what I have done is used the equation for GPE
% v7 P) N! n9 A) M# Lwhich is
3 f7 ~7 C: E( p+ QU = - (G me m) / r7 V: t4 L N- M+ O# e6 [
6 G4 ~. L, w; m$ M
where G is 6.674e-11 Nmkg-2
s" J1 C% C( E7 g5 ^6 w( J3 tme is the mass of the planet 5.1e24 kg
; Q# \' d$ }9 f" tm is the mass of the space ship 5.9e4 kg & t# P7 c2 z* ]) {+ `* @0 ?# ^- M/ m
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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