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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]
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[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
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3 [5 f1 U! q" n4 E4 A- I$ m
+ d+ l4 R/ s2 A1 T' _4 t1 Lso far what I have done is used the equation for GPE
' W6 P6 g; C! L: q" {which is
0 s9 w6 {( r! c! R) uU = - (G me m) / r( y, i- O5 {5 W3 t
1 m# j+ j" a% c$ W- r7 s0 Q
where G is 6.674e-11 Nmkg-2
8 @$ B! r' Q, bme is the mass of the planet 5.1e24 kg
4 S V o0 y5 J: c1 ?m is the mass of the space ship 5.9e4 kg 6 Z( Q2 ]% |8 p
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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