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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]
8 Z2 H% r, B f$ f. j+ m. l4 K. ]+ l: b) w+ R$ S, S# N
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
# @2 S1 E. [/ s# z: X" `' k) E
( G6 I. J0 `0 p! s
8 V4 |5 s. K0 x. _; T ]& F Nso far what I have done is used the equation for GPE9 M2 o) Q1 \9 U2 F. {0 n+ U4 |& _7 W
which is 3 I# m( Q1 k" M
U = - (G me m) / r, Y7 n4 s6 t/ h# z B; Z" R5 z- v+ T2 n
`1 P& g/ q" w! H% V" \
where G is 6.674e-11 Nmkg-2
5 o. q. ] b# ~% k# Kme is the mass of the planet 5.1e24 kg 6 J4 W: H- s; H# d
m is the mass of the space ship 5.9e4 kg ! M" M% y2 N% h% L6 \
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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狗仔卡
发表于 2009-11-10 21:41
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