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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]
( M% m, K6 l3 m4 j3 }" r8 R( V- q7 S
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.], u6 z( A! v2 C; A# R. |
: u1 a3 _6 X* O' }. z9 y$ h, E) T' l3 ?; R9 A
so far what I have done is used the equation for GPE+ |' c. Z! i/ ^
which is
; {/ U& V' Q$ Y+ CU = - (G me m) / r1 U0 W* j Q) S+ ]
6 s' x: e8 q" Q% |3 A
where G is 6.674e-11 Nmkg-2+ J, f, k! ^( @; p' ^* @3 d
me is the mass of the planet 5.1e24 kg - a2 ~% s/ ~ ~8 V
m is the mass of the space ship 5.9e4 kg 3 Z# b5 S% J9 G. f/ h$ H G
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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