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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]
, X% T$ P6 w" a# a& z3 m
, j. Y, p0 d0 u- P& z4 X6 \[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
$ m( c$ K1 M/ m5 r4 h2 g J/ g" d! t' v/ ]" p3 V
# f4 l* J/ y) {9 P* Oso far what I have done is used the equation for GPE- d! k, d- V* K7 M" }" ~: H" B
which is
' Q! w. q3 j+ `U = - (G me m) / r7 I' b4 M( n2 g2 v- g3 `5 O
( d. ~. n5 z: j* C' b( t
where G is 6.674e-11 Nmkg-2$ y9 O: O; E! Q- e; y
me is the mass of the planet 5.1e24 kg 1 R2 |; X- A+ u& X8 N: j) h) r; i
m is the mass of the space ship 5.9e4 kg
# i3 r7 L9 S/ d i7 D) cr 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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