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]1 W: _; S# M5 J& x
! o( u+ S) L# F* R( S- O: Y" _! Z[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]; d" a# E! ~# B
- `& K. Q% l: L/ q3 W9 e
7 y9 r/ \! G9 H& J# [
so far what I have done is used the equation for GPE 5 z x. D9 ]) }which is 7 \0 V- ?2 U% w& s& b( G7 hU = - (G me m) / r: {) R2 O) E9 t5 u
$ L( D- i$ K/ {( j) R' q
where G is 6.674e-11 Nmkg-28 B# d; |: R9 P% E! ]
me is the mass of the planet 5.1e24 kg $ U- \. ^% ~. g1 |8 L# hm is the mass of the space ship 5.9e4 kg " g! J! ^+ [. a# }1 Z: s
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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