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]) q6 ~8 i$ O( [ N
' _. a; B( q& _: b; D[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] . K0 T( E# Y0 U8 W5 w& _6 {5 x7 e( g3 o+ ^) H6 s1 ]- |8 @8 F
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so far what I have done is used the equation for GPE + v1 l- [0 @* k0 I' k- ?( J* C- Dwhich is * Y) y. b/ P3 v3 q" I; O" X+ A
U = - (G me m) / r & x& `# S3 d. b( J8 b0 w2 S0 ^! K6 J2 a6 C s% l) z2 Y Z
where G is 6.674e-11 Nmkg-2 2 L" Y% U* Q1 t3 u6 Gme is the mass of the planet 5.1e24 kg 3 j& ~0 m' V* q3 J" }) ^
m is the mass of the space ship 5.9e4 kg 6 R1 h) q- A# Z
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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