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]+ f% G) l( F r
. \$ }7 U. ^4 T f. s
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]- h1 |/ P5 _1 `8 u. O' H. a3 L
( v) o" E# `3 k' w% x. D * U5 r% d( r. q c4 Jso far what I have done is used the equation for GPE 8 e+ `+ R6 X' Ywhich is f) P) ~: j& u1 ~) |1 v9 [U = - (G me m) / r( Z1 w/ Q$ O' ]2 E h! S
& c) S& P' d% \# U0 G% e
where G is 6.674e-11 Nmkg-2 / D1 d: e; K, @; T$ O4 ~+ B9 s2 Bme is the mass of the planet 5.1e24 kg 9 {2 r; U1 N! \# r6 wm is the mass of the space ship 5.9e4 kg & x4 ]3 S. S# b8 `+ Ir 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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