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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]
9 S7 J+ w8 c" @" F. @% F4 A9 _ n
- j: X/ }3 ~; [- i! D[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
7 ^. h* g3 z/ C; P! ^$ U4 i9 o# v2 O" s- @* v5 D$ D: _
! |% F' W B$ `& y) R
so far what I have done is used the equation for GPE
4 r2 G4 A3 B9 H4 \which is " |* {' V/ H$ Q/ _$ Z
U = - (G me m) / r! L V# E7 s% a9 O7 x1 S
3 F7 t& U' S- S% z9 n7 }5 z
where G is 6.674e-11 Nmkg-27 b, U( `( k7 a, ^' x0 W7 _9 k8 }
me is the mass of the planet 5.1e24 kg / B$ [# A6 k0 [5 }7 I# G
m is the mass of the space ship 5.9e4 kg 7 w( V2 @3 J1 q( k, t0 |! `
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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