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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]
" Y- G# K, ?. m( m% W" W9 Y
: b0 D, ~9 E' u! ^. ~[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.], O; P7 n) m A7 V1 X; E
- p9 n6 m5 j: h- K0 P8 i1 N7 B: @' b3 J+ M/ ~
so far what I have done is used the equation for GPE0 C, U+ I4 i0 c ?6 G" M* G
which is
9 c3 d# X3 d3 [/ J( p4 F' aU = - (G me m) / r( O$ |6 b0 {6 h$ x7 q/ o
; {: ?5 r) S3 M1 X: K! }where G is 6.674e-11 Nmkg-23 X( U7 w. }; L3 b( r/ f# |
me is the mass of the planet 5.1e24 kg
" o, R4 B. a; y5 N( ^0 Im is the mass of the space ship 5.9e4 kg # o3 O8 [. O Q; Z- ~9 u0 i( V
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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