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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]
2 G% R: \ g% H. j7 O8 u" ?0 V. X- e! U" f4 Y( _$ v; r; r
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
. R1 w4 F5 k- P7 T! w( d: R9 }* k) ]( s v( j3 q5 `4 F; i
# T* H- j7 Q% y2 @so far what I have done is used the equation for GPE: l5 t( H# c+ G, X' o- R M8 L; R
which is ! C7 K( R+ e( U. j6 O" U
U = - (G me m) / r; w {8 C1 c- X* H% `6 T- P! d
/ p/ M! E$ `+ i! B5 f/ Z8 b
where G is 6.674e-11 Nmkg-23 H5 w5 J. X" m8 Q/ Q, a
me is the mass of the planet 5.1e24 kg
. H4 S: w6 C9 c& l2 a+ B, b4 P) [m is the mass of the space ship 5.9e4 kg
* a% B' ?; Q) ]8 t4 S6 y u2 tr 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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狗仔卡
发表于 2009-11-10 21:41
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