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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]2 {. X1 @% V" e8 c7 S5 V* u
/ j6 T# ?9 y/ {8 o% ][Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
' A4 q8 u) d! [' Z: i0 l7 E
7 e) m8 \+ [. {! [6 D* k! q* f/ O& _
so far what I have done is used the equation for GPE
( s! s! c0 {! p! }! W' H9 [! xwhich is $ @2 n5 \' j# X" k' L/ t" S
U = - (G me m) / r
# h3 F& L7 n, J. e
! ]& J' u3 J0 u" ~+ ?$ p4 s# T/ Wwhere G is 6.674e-11 Nmkg-2
) n% [3 C. D: n- Mme is the mass of the planet 5.1e24 kg : Q8 b! w* S" e, a
m is the mass of the space ship 5.9e4 kg $ w/ x% k: I, F# M* _; a+ h0 X3 u
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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