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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]- |- `! l# {% P
, Z1 t5 E S" z( k; U[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]3 ~9 ~- l" r1 b: h! q, o2 B& ? l5 K
, b* y* Z) V' l
9 d, V9 X9 I$ z! c7 S1 t B
so far what I have done is used the equation for GPE7 G) w0 x7 @. v$ H! x
which is 3 c$ J( Q2 ?2 a Z' p; k! U
U = - (G me m) / r
7 W: Q" h7 n" f! m5 I
" J2 n9 Y) X8 d4 S( b* wwhere G is 6.674e-11 Nmkg-2' ^1 O7 C: N o# \& }- Z9 [ L. l
me is the mass of the planet 5.1e24 kg % N- W- ~/ ~' D6 H
m is the mass of the space ship 5.9e4 kg
# X: a! V# w6 ur 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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