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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]
' p' Y5 ]; a! o) ?; T4 F. [3 ?' X/ ]' w
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
, X9 v4 Q$ h# L, K6 ^+ m. ]. I: U7 O# b1 s5 F; d
9 I5 F; z8 [9 n3 `/ C+ x
so far what I have done is used the equation for GPE
& S* {1 `1 x! A5 A$ x& s7 y$ Zwhich is
+ U+ t. }* c, I* w/ C ^! k) |U = - (G me m) / r
; m4 `8 ^( ]* q6 l* U1 k) e! N! q) C5 k
where G is 6.674e-11 Nmkg-2
9 Q, g# s) b7 T+ U9 Z6 y% Y {% zme is the mass of the planet 5.1e24 kg 0 _: @6 P, p+ R% k( x$ Q
m is the mass of the space ship 5.9e4 kg
: F* u6 k. ?$ N& |3 f, ar 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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