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 ^( j7 f) U# ]: w% V% ^3 ^4 I
% [* Q3 M* y3 i
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] & M4 ~6 h: i/ Y1 C$ f T) M2 c: g7 t+ i9 ^1 k
( |9 \/ J: ^3 G C$ e* l/ X- l Jso far what I have done is used the equation for GPE 1 [$ M: o6 L* m% r6 Hwhich is " K+ X& b7 a/ h3 T9 I6 S" lU = - (G me m) / r5 U, f: }! Z% _0 X% B5 w0 R. C
t S9 t6 M+ L/ u1 l$ |# ~+ _
where G is 6.674e-11 Nmkg-2 / L( b7 q- u8 ^9 z! x+ ]$ E T0 Ume is the mass of the planet 5.1e24 kg 9 F7 v$ a, E" i* W$ k% V7 Im is the mass of the space ship 5.9e4 kg - y/ K) U2 v2 Z. J
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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