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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]* J# J% V& N1 \4 @$ l9 K% a( Q6 l
. B, X W C e& I; g! \[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]/ R0 T4 d' ^' r2 \% b9 m
5 z- m3 M- _ E! p# F& L9 P
9 D- r: R$ E \1 a; aso far what I have done is used the equation for GPE
3 p- w+ Y3 W# S4 Z; p( q; ywhich is
: u+ M5 u7 d4 F4 I" D7 L6 PU = - (G me m) / r2 I( `+ Y2 x0 ]0 s2 @9 Z- p
9 O, K; d$ ?& c* p$ A/ V1 b
where G is 6.674e-11 Nmkg-2' j2 E6 e8 m7 Z1 t
me is the mass of the planet 5.1e24 kg
$ H. t5 {! Q1 t' X: c0 f; O0 p0 wm is the mass of the space ship 5.9e4 kg , ?. C- b3 t H( c1 I4 d; x
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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