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] - l; T* x3 D8 }* I9 j9 E' I5 _0 h; W8 o4 r- O4 z
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 9 [* N8 Q9 [+ q7 y5 ]& M. y: ?$ R: O# w$ l) q& l
# s) u+ _% u: ?0 H% Fso far what I have done is used the equation for GPE C: [! }; X; x( f+ x7 x" ?
which is $ s: C/ C4 m( X; {2 XU = - (G me m) / r # ^/ v/ v1 V& L% d% D" @ R & i8 S6 w3 W5 Zwhere G is 6.674e-11 Nmkg-2, w; K* m* a9 X$ i; d2 }' `: y
me is the mass of the planet 5.1e24 kg 1 ], ]& H+ O# A- T( N6 q+ E+ km is the mass of the space ship 5.9e4 kg 0 I( b+ r. s6 ^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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