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 K9 h# Y8 m, q2 l2 N0 X a" i ' W7 _+ M1 L2 t/ r& b0 s[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] * b! @7 u% D. |0 e+ {3 s) ?3 h0 \2 F 6 e. h" u0 w o* b+ ~) p u4 r0 [
so far what I have done is used the equation for GPE/ m# Z! l0 J) L. U# n
which is ' Q, `2 Y+ H5 r2 A* yU = - (G me m) / r " k9 A+ L$ e8 }( b: l0 }6 W9 @4 r1 t/ A7 n6 m3 ^
where G is 6.674e-11 Nmkg-2 4 Q2 y& z* b1 i; ]% }# Sme is the mass of the planet 5.1e24 kg ' _7 e- Z9 y$ a# _9 D/ \& P( B) mm is the mass of the space ship 5.9e4 kg * C* s8 R8 Q: S0 D& Or 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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