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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]7 z5 Z! h2 i1 E. K4 V5 I/ _
1 i5 L4 H8 s" ]" I* v) Z
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.], i. K6 Q2 M/ X/ ~
! K* N7 x6 `' L
0 Q# p1 t& |+ z8 M3 l9 ]so far what I have done is used the equation for GPE
+ [8 N1 f& l! C* Gwhich is , }+ o. q9 i' x+ k; [$ j3 F; T) Y/ q; g
U = - (G me m) / r( [' [/ i2 L, P1 C- j2 I! l
; W% x- A1 ~! c M2 z1 @. s* Rwhere G is 6.674e-11 Nmkg-2) X8 P# t. N4 X8 w
me is the mass of the planet 5.1e24 kg 5 n* z( s& R6 i/ z3 K* R
m is the mass of the space ship 5.9e4 kg " n% Y) ~- W3 w3 O
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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