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, L4 F4 v% M2 _# }- u- D0 e5 l9 a! O a* Y9 f
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]9 d/ f! @/ R8 B: W9 {
0 F5 p/ `6 u2 M6 N. e1 \
6 ^* ?. i" b2 oso far what I have done is used the equation for GPE) k' f" |. @' \9 {
which is : }7 z+ _* X6 s* c" I8 P
U = - (G me m) / r B1 `6 ^ C' A |5 q! c$ B/ e! O* w& g1 Y7 E: m
where G is 6.674e-11 Nmkg-2 1 V% p8 b/ @2 d& U8 Tme is the mass of the planet 5.1e24 kg 9 [* ?( i6 s+ |2 J4 J) f
m is the mass of the space ship 5.9e4 kg . ?% j8 ~( v: rr 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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