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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]
( ~" ^4 }% P+ N# @- \/ L. x1 J5 t( X+ Q! S" m: s: [
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
0 m" f8 O! u, m4 t; ?& D8 c. ^6 B0 e' y) t
9 C, N0 a& m1 F8 K
so far what I have done is used the equation for GPE! H9 @! Y" R' ^
which is ) k- v' y. `! z: ]6 e
U = - (G me m) / r! C( v* P! \ g0 A
4 j$ c* L0 Z& @$ a( l! ]where G is 6.674e-11 Nmkg-2
, Q r. ^' o+ }me is the mass of the planet 5.1e24 kg 3 d# s& }/ n" S9 I9 C7 m
m is the mass of the space ship 5.9e4 kg
; s; S4 x& ?4 I6 V& ^ l. Br 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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, b: x2 K0 _" ?4 n9 B