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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]
+ ?0 z: R' r5 J0 s7 I, n# l. }6 f0 |( w2 o; p
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
' w$ x( ~2 p! g, e( k) Y" H' \) T1 ]' Q- E! f& J( t6 y) t% [
: f+ }: S* `: G! p1 I& p
so far what I have done is used the equation for GPE. j; M- ?! a; G1 f4 W, B
which is 8 K; `/ l1 O& I% ?: Z( [7 m7 `/ V
U = - (G me m) / r
& n6 F$ e0 V/ }+ \" {4 P
8 l& _) i2 m% T( `* d% Vwhere G is 6.674e-11 Nmkg-2. u& a2 k9 `$ _2 ?. V9 z$ e
me is the mass of the planet 5.1e24 kg
# y* Y9 p) ]. d8 }m is the mass of the space ship 5.9e4 kg
8 `$ D2 K$ u2 `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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