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]' x8 j4 Y/ l" C
7 l* M% C% o1 D1 O$ r" ^! Z[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 3 Q7 \8 A7 h: f6 M; D( P7 b' A. P : r! G' w0 [# F! @ 4 w- u1 W/ {- Tso far what I have done is used the equation for GPE ' y/ D) M( E+ t1 z9 }/ Kwhich is ! T6 ^/ C2 |/ V* j
U = - (G me m) / r! B! j) U* [4 p; ]# s( D
* l% ] H+ Q# y! O
where G is 6.674e-11 Nmkg-2 0 |1 Q1 K0 x l# f/ X+ \2 lme is the mass of the planet 5.1e24 kg 4 ?5 w/ \. o/ f. Z& Z- Hm is the mass of the space ship 5.9e4 kg 6 s$ Y8 Q! D( I4 Br 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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