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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], ~$ r( `2 ?2 ?1 j
9 |% K$ G2 k+ K0 f. p, t* M
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
" J. U6 B! X1 R( u
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so far what I have done is used the equation for GPE/ w% U4 u2 @1 Y" M# B
which is
# a7 L l% g; XU = - (G me m) / r
" y5 ?* _; `* p) |7 u) Z8 \1 M5 N ?6 a$ p0 [: y4 f* T3 d2 A* W
where G is 6.674e-11 Nmkg-2
! w6 X2 n, ?% L+ ~) E, n0 cme is the mass of the planet 5.1e24 kg # V# e0 z* w$ Q) X" _
m is the mass of the space ship 5.9e4 kg P$ a0 T' A9 a4 ~
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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