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]3 c$ l" s: d9 o
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[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 1 ~ M; l# a I& ]5 L ' L' `$ M" ]' M4 L6 i/ t# ^, }: ?) K9 E. v' o$ h; A
so far what I have done is used the equation for GPE ) H3 X: U1 e$ _$ Ywhich is * i$ U0 @6 @7 |+ T: V( dU = - (G me m) / r* J. \" [" I# h; }" f' i2 C
3 M. y0 }6 Q$ I- Y* M5 M7 Mwhere G is 6.674e-11 Nmkg-20 O0 D# y+ _2 n; ^+ p
me is the mass of the planet 5.1e24 kg ' h; L; q& F0 G1 W- v" F. i
m is the mass of the space ship 5.9e4 kg - J1 _7 E3 W; F$ H2 M9 Q
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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