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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], D. L$ D0 g2 L. J: J4 M% J; I" I
7 b8 R/ ]0 m1 K! |# B* [
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]6 `2 W' s2 m+ F0 h% H6 U0 r
0 ?* W1 O- _# A& l( x y. T7 `" d3 |
so far what I have done is used the equation for GPE
( ^# j& t! q9 j4 H6 a2 G1 J: Y! G8 hwhich is : y% {7 F+ K! V
U = - (G me m) / r
; M: d, d4 }. V. I {" u
, U* @* G& A( q) }where G is 6.674e-11 Nmkg-2- F0 R, e4 ` y" V9 M4 {
me is the mass of the planet 5.1e24 kg
+ Q/ u; L$ A* u, [! \, S5 @. hm is the mass of the space ship 5.9e4 kg 4 ~7 ^- T3 K6 j6 }9 O Q
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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