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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]
7 a" D3 j' |/ L6 R% g6 Z: ?
. ?7 N8 B5 w% y! T[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]) G, j6 y9 @4 V- Y& ~5 c
, Q' X8 D1 a" @6 u) S3 M+ X a" ]
* a" ] x$ f. q% ~+ rso far what I have done is used the equation for GPE; C1 m$ G5 t& l. @4 k) |
which is }/ @- j) p; E! O
U = - (G me m) / r
( Q. Y A/ }& u ~1 N: \4 `5 c
7 c$ ^# x" v0 s1 ~$ pwhere G is 6.674e-11 Nmkg-2
- e; K, r$ b' y/ }9 s8 u nme is the mass of the planet 5.1e24 kg
' B9 S* t4 R- q0 t& L3 X8 l/ q8 u& dm is the mass of the space ship 5.9e4 kg
5 H7 c/ ^8 X3 N7 H& Gr 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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