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]) l) _" J5 N* o! N6 R& K3 g
/ I8 p/ K, J& b! i[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]9 F6 j8 m1 p J& d& n
( e. ?) a) ?. B& }7 ] ) y' w6 L3 p( ~# Nso far what I have done is used the equation for GPE 1 Z- H" V$ w) j9 y0 J( Q" \which is . O$ p) u0 A# R0 b' a5 MU = - (G me m) / r( R" w0 J6 l/ y, f
7 }& |9 W8 H$ K! r9 I+ z
where G is 6.674e-11 Nmkg-27 Q" [7 z) ?' |4 ?
me is the mass of the planet 5.1e24 kg * a9 h( Q' V1 `
m is the mass of the space ship 5.9e4 kg 3 Q- x' p' `! d+ a5 Wr 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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