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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]
/ [1 E% y( P4 F2 K3 p, p( g. h3 `0 p* b2 j# x) Z% g4 s
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
# h3 c6 A0 J6 W3 n- `
+ \6 o+ u! O* _" F- h4 j4 b4 _" l, r
so far what I have done is used the equation for GPE
* X# o- x! f( P! P9 T4 s, Iwhich is - N, U1 A- H4 z6 a" s; Y8 n
U = - (G me m) / r ]/ t I' [% n) y' d0 o, i; r
5 u4 o( O" U/ @& I( N- i! N7 L. {where G is 6.674e-11 Nmkg-2
8 F: H: y, p1 C! L7 w& g, Nme is the mass of the planet 5.1e24 kg 1 `# X+ J$ o/ s6 R3 j
m is the mass of the space ship 5.9e4 kg 7 U% U% Q" J# h
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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