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$ U- X1 p0 D, M& \# h- g7 V
4 \8 k* Y9 r% K$ t2 K# h% Q1 V
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]( H4 c* d' G- Z
5 J/ l; j3 P# @5 x k1 F1 k1 y/ i7 u2 A5 z2 T6 \
so far what I have done is used the equation for GPE 9 X4 y' d9 w1 ?which is $ }& i0 ?+ C9 u
U = - (G me m) / r9 O. G' \$ i2 j: N" K# i
- X, |2 N! y( Z8 m5 w
where G is 6.674e-11 Nmkg-2 % J. P) ^ H0 e& S) }- R8 {me is the mass of the planet 5.1e24 kg + a! v. c1 \- H& _
m is the mass of the space ship 5.9e4 kg 7 H+ `8 U* W3 F% ]5 rr 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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