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] @% W5 _) H* ]- h8 \
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[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 8 J! y( G$ y% D) r5 g+ F$ B 2 a% t9 X( c0 t- M; I5 n0 Q4 P' e! K0 I- t( U; N+ W& E# u' S b1 O
so far what I have done is used the equation for GPE8 `$ \3 Q; \; M1 m7 N1 x7 N
which is ' n \5 Y" h/ E2 [4 L+ o# t
U = - (G me m) / r( l i @& x' M8 I
1 x! ?% r1 J5 y$ {1 U" J1 w8 Wwhere G is 6.674e-11 Nmkg-2 - s4 T; b* v: U4 u, I+ N! a4 Fme is the mass of the planet 5.1e24 kg - K6 I! _7 `, r! W: g9 _
m is the mass of the space ship 5.9e4 kg $ O( P8 ~) a3 }' @. z
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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$ E4 M U* n- A. ~$ M% T& A% C# s7 z