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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]
( Q) f4 t/ ^) C1 b% O1 |6 p# y( m& j m* N# `8 h0 I! }5 k6 |
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
' G/ v" O- R$ ]! Y1 ~; r1 r2 v% t% O% i+ b
6 R. i/ J6 c0 V M0 b5 w" kso far what I have done is used the equation for GPE
( R" g3 K- r2 v/ f7 y; Lwhich is b+ w) l! z5 y/ x
U = - (G me m) / r% f% r- T- A- u2 x" ^
! _' o7 x* r. rwhere G is 6.674e-11 Nmkg-2
2 o U3 C% A ^. [! \# z: p3 q4 @me is the mass of the planet 5.1e24 kg & R3 J$ V/ C9 L9 d, ]
m is the mass of the space ship 5.9e4 kg
3 w: [, q0 t, g# {8 o0 x E5 N1 tr 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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