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]4 v+ G7 [4 |0 \5 z& `; b
4 b' O, J! M# Y9 I2 ]/ |! V[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]9 S# n$ t0 ]* \0 U' ^/ S1 D. ^* K
6 D R6 |0 T. j: M1 T $ o% Q) _) e4 H$ Lso far what I have done is used the equation for GPE. N9 c3 U/ E q& ^6 @& [; [
which is 2 Z v4 Q" I2 @. l* U6 MU = - (G me m) / r 0 K" g% Z) ~+ ~4 B% {% ^& }7 \# m& `! g% P% ^8 Q+ R2 F1 s
where G is 6.674e-11 Nmkg-2- m0 c1 E! m! J( R$ |
me is the mass of the planet 5.1e24 kg / W5 h# b5 t% ]/ Gm is the mass of the space ship 5.9e4 kg / B0 `' v5 [0 z' Q b6 u. B
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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