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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]6 L& Z/ A; e- P( R9 h
- |3 L: t, P& W[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
A' f' d9 Q7 V1 M0 y) d( a+ D7 X5 M( B; O, w8 d7 ~! Z! r5 l4 o
9 \; Z6 t; S5 w; C/ {5 H9 O b
so far what I have done is used the equation for GPE
2 D8 W- L$ Q r* W8 p7 ^7 q& B, gwhich is % W6 ^# S( V. T. T# v8 t: M
U = - (G me m) / r
# v1 _, x# r+ `/ o. E' B* e7 j3 a, I% i& i v' G4 T
where G is 6.674e-11 Nmkg-2
! ]' }/ j/ i- O2 w# jme is the mass of the planet 5.1e24 kg
7 T6 t8 M$ F0 L/ d1 hm is the mass of the space ship 5.9e4 kg . e/ I/ X# U+ U" @' d! l
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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