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] 6 J3 T5 x; L0 S2 \- I & {; o& w$ s' j5 n( u; O- h, }[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]/ A5 j; c' h, M' l5 q. ]8 t
& y+ v! D* m% ~8 r( o6 [ * {; s& D2 J# C6 Dso far what I have done is used the equation for GPE 9 ]' I1 |! {0 ^6 z* z9 p: G5 u2 `) @; nwhich is 4 B$ L( ^! h1 K2 ?( S! }
U = - (G me m) / r " _2 _% P1 e* q$ Z% ?0 q0 m # H: I* {; B. M# M @6 c7 s0 {* _0 H) uwhere G is 6.674e-11 Nmkg-2 + B8 z+ q* h' |5 E3 F8 K5 i$ ]me is the mass of the planet 5.1e24 kg 9 d3 V. ^: M/ |3 Q; s' B
m is the mass of the space ship 5.9e4 kg 9 |8 K' ?: p7 _ i% A7 E
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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