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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]
/ C: w! x) ?) q H7 p
, k* }8 U1 n- U( `# u[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
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- k) z0 i1 R3 @+ k7 H6 E& ~so far what I have done is used the equation for GPE$ i9 q g& L9 v* ~. V5 C
which is
4 R6 g) I1 W' Q4 s( _$ C% @U = - (G me m) / r p/ ~# z) ^% k) S! W
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where G is 6.674e-11 Nmkg-2
: ^4 J3 g' j& V( `8 Mme is the mass of the planet 5.1e24 kg
% b7 z1 q) R5 g7 D' |$ r6 l. `m is the mass of the space ship 5.9e4 kg
Q, G: U- ~8 v. c- {3 f9 ?( O9 y, o4 @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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