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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]4 m" {9 T- p7 M1 T7 t
& ~- h4 A9 M, [% C( u
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
2 j# m, ?2 I( o ^( q& \% p. i4 m- y1 [8 k6 E
; G; m) w. [" K Q( I8 u0 Zso far what I have done is used the equation for GPE
2 k1 N3 s9 K' ]7 iwhich is - `, u4 @( Q n1 ?, c, u
U = - (G me m) / r
: w" P8 K: S$ y7 Y) a) c. e/ X$ W, \5 d
where G is 6.674e-11 Nmkg-2
8 Z( w0 Y, `: _) X: U6 Lme is the mass of the planet 5.1e24 kg
5 [ c/ Z6 ^0 E7 S, L- hm is the mass of the space ship 5.9e4 kg ) y: Q# R$ U9 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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