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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]
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[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.], H3 _" P* C7 H) C
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so far what I have done is used the equation for GPE" K. [8 g/ ?) \4 V6 O3 y
which is % F# F- H- L8 }0 k) }% J1 l
U = - (G me m) / r5 V% W* l' `8 F) v e& K
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where G is 6.674e-11 Nmkg-2. W- D% J( K- [
me is the mass of the planet 5.1e24 kg , g8 H; e' j" }" V# ?
m is the mass of the space ship 5.9e4 kg * Z# ]8 w" _0 ] V! g# z3 k2 k
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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