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] % t S- X5 s3 B7 D; Y. V9 s* i- {' F6 \( I" b. f
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]7 O0 H! b% I# z5 `4 K
" i( l) n. c" Q3 o- a9 e
7 n2 x& `1 ?/ x5 h6 iso far what I have done is used the equation for GPE2 V, Q J% F$ x P9 L9 Y
which is . N! p' ?+ N4 L1 J9 H3 G- P
U = - (G me m) / r . _9 W" p* J2 X7 g' `$ |; X' o2 @# N
where G is 6.674e-11 Nmkg-2 " M8 e9 J' U- ^* u- n8 ome is the mass of the planet 5.1e24 kg ! r) @6 z: I% c; e
m is the mass of the space ship 5.9e4 kg 5 J* X( m( q4 d% Rr 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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