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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]
' `* E7 Q( R* F' m/ f/ w4 V; ?: O4 X; S! R/ g! q6 M
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]( [6 E6 c0 T0 p6 B! v' V7 \
4 {$ Q! y# ~" D7 |; Y# m
' P$ s2 r( v0 `2 R5 q. p8 ]7 `so far what I have done is used the equation for GPE
, \8 p: _: W6 G, z G0 S/ G" {8 Vwhich is 9 ^: G" ~: N% k( [# q B# O
U = - (G me m) / r
9 U( @/ M- n- x. c
' x& |; ?- m% O) v/ [4 @! s1 {where G is 6.674e-11 Nmkg-2
7 u% g2 i4 d7 X5 @7 D" K' kme is the mass of the planet 5.1e24 kg ! y" H; ]3 p3 G, t4 I' c3 K# E
m is the mass of the space ship 5.9e4 kg
0 H8 _8 D$ b) z+ `3 _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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