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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] M* B. y9 i, g& W9 t p3 k
5 C- q/ L% l/ {. w[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.], O4 c6 H2 S- E( a, O7 ~; |
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so far what I have done is used the equation for GPE/ y9 Y5 S: ?6 `5 @# R4 C$ k! L
which is
; O4 @0 D0 i/ k2 kU = - (G me m) / r$ m; Q0 E. B9 J# O) x
! O$ ^: _1 h: E% g4 F' Vwhere G is 6.674e-11 Nmkg-23 w0 W1 F( W$ }" x- ~
me is the mass of the planet 5.1e24 kg 6 D# p0 _; o6 j! T% @, f
m is the mass of the space ship 5.9e4 kg
: m( R- L" D. O) T- p6 {. Rr 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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# F' Y e9 y' N3 j4 x5 d