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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]" }' C. @5 [7 C. @3 i4 l! F6 D7 L. ^
A0 r+ t; a' d( m, n1 s* s2 y
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]$ t* a# s+ P4 n- u5 L' |
3 [* t6 ^: V& X/ `5 }' [5 [- b; b# N4 s$ S
so far what I have done is used the equation for GPE/ l- m6 m( d) l H3 Q- c
which is
6 [! C+ d/ J. ?$ q# eU = - (G me m) / r
( J6 l8 w0 f1 B/ z. B F
, y9 `% h8 J( w* ~8 Hwhere G is 6.674e-11 Nmkg-2
' {$ Y4 T* D, v, p9 B. a4 N. e. Mme is the mass of the planet 5.1e24 kg 4 q+ `" V; l2 U, r# L# g
m is the mass of the space ship 5.9e4 kg
* ^( ?: Z1 F: Q" I- X+ nr 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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