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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]* y* A0 C- |/ p0 Y; a" t
$ z4 H# x o5 S" O[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]( {. R) P! l0 _
5 j# z) c- Y! J- b5 w3 X7 Z b5 I6 {
" Q/ a3 l' s0 _ c! n' s6 n& j& Zso far what I have done is used the equation for GPE1 a7 @6 |5 V7 b4 k1 N5 c
which is
3 R& @( U5 V* b& d- U7 XU = - (G me m) / r9 {. J9 X% } i" z. l' _2 w, r( h& u
& X' e, A; _8 ^$ q1 s4 Bwhere G is 6.674e-11 Nmkg-2
) A' M) D+ [* j3 q- L8 zme is the mass of the planet 5.1e24 kg
; e% |! X% J& p- dm is the mass of the space ship 5.9e4 kg
$ _- s1 ]4 G, @) q+ t: Mr 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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