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] ! ]5 \; O' n/ i4 q' K* U- W- `; m+ G( z0 J+ p' c
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] " ^- t* b5 C8 r+ L6 b: a8 { S * S. J8 U6 {2 N8 W G" E, V/ ^$ Y3 }* E' b
so far what I have done is used the equation for GPE$ G& Z p! [* {* H4 L( S
which is . {% N: m3 M5 I7 i6 r8 dU = - (G me m) / r j* e- w( ]; c4 V0 O0 V
. ` U) M: w6 _) S
where G is 6.674e-11 Nmkg-27 G$ q7 D% p7 W4 E+ P
me is the mass of the planet 5.1e24 kg 2 q [, d4 k* k: x- V
m is the mass of the space ship 5.9e4 kg ! y( O$ \2 o: _+ U
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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6 S. Y3 h6 y# U0 j6 ]0 G