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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]
, a k0 l( x* }! }7 {) ]( W, v+ l5 V+ q* |, [; @- a
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
" ?$ @& E3 O" M0 r$ O1 h8 h
6 R4 d/ p. A1 ~$ ?/ e
' y: U4 R% B0 \0 T4 r7 w; j$ |so far what I have done is used the equation for GPE
5 Z1 F* E% F u6 M" ]6 ^which is ) I+ j5 k$ u U6 O
U = - (G me m) / r, R- E$ a" k6 ]' R, P/ a
; C5 ]7 p6 h h0 pwhere G is 6.674e-11 Nmkg-2
- A0 h. G1 b0 ^; Y* lme is the mass of the planet 5.1e24 kg
* I1 s, l6 ], v" q: G- |5 um is the mass of the space ship 5.9e4 kg 1 s* E# B3 Q; Q% h3 X+ w
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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